David de Gea issued a damning assessment of Manchester United's quality and acknowledged it will be "very difficult" for them to finish in the top four.
United succumbed to a surprise 1-0 loss to relegation-threatened Everton at Goodison Park on Saturday, with Anthony Gordon's deflected strike proving to be the difference.
Ralf Rangnick has now triumphed in just eight of his first 17 Premier League games as the Red Devils' boss, giving him a win percentage of 47% – the worst of any manager the club has had in the competition.
It was United's eighth defeat of the season – only the eighth time they have lost that many games in a single campaign but the sixth since 2012-13.
They could find themselves six points adrift of the top four by the end of the weekend, with De Gea admitting they lack the requisite quality to qualify for next season's Champions League.
"We knew before today they were struggling and how difficult it was going to be," De Gea told BT Sport.
"We don't score, we don't even create proper chances to score. I don't know what to say, to be honest. We're not good enough, that's for sure. It's going to be very difficult now to be in the top four.
"Of course, it's not the perfect atmosphere. They were tired, they were nervous, but they keep going and keep fighting. They had more desire than us, which is not acceptable. It's very sad to lose today."
Rangnick will move into a consulting role at Old Trafford at the conclusion of the season, with Ajax boss Erik ten Hag reported to be the frontrunner to take over.
Mauricio Pochettino has also been linked with the role, but Rangnick does not believe the uncertainty can be used to excuse a dismal run of one win in seven in all competitions.
"I don't think this should be an excuse. We are Manchester United. We have lots of international players. There shouldn't be an alibi," Rangnick said.
"There will be a new manager next season. If this is announced now or in 10 days, it shouldn't have an impact."
He added: "If you don't score a single goal in 95 minutes, we have to be disappointed. We had a good start and should have created more chances out of that domination. Then we concede a deflected shot and lost a bit of our composure.
"The second half we were trying to add creativity with substitutions, but we didn't always take the right decision.
"We had to do something. We needed a goal and we decided to bring on [Juan] Mata and more verticality with [Anthony] Elanga.
"They were defending with their players in the last 35 minutes. We didn't find the right player at the right moment. We didn't have enough players in the box when we played crosses."
Van Dijk: Liverpool have 'no chance' in title race after derby defeat
Virgil van Dijk conceded Liverpool might be out of the Premier League title race after they suffered a surprise 2-0 defeat to Everton in Wednesday's Merseyside derby.
Jarrad Branthwaite and Dominic Calvert-Lewin scored in either half to give the Toffees their first win over Liverpool at Goodison Park since 2010.
Liverpool struggled to find a way through the Toffees' defence despite dominating for long periods, and the Reds' captain says they will not outlast Arsenal and Manchester City without major improvements.
Speaking to Sky Sports, Van Dijk said: "If we play like today, then we have no chance to consider ourselves in the title race.
"We have to just focus on the next game and that will be a tough one anyway, so we will see.
"We're very disappointed, in so many ways. I think everyone has to look at their own performances. Did they really give everything, and do they really want to win the league?
"We're still fighting and there are still games after tonight, but if we play like we did overall in the game today – not winning challenges and giving the referee a chance to give free-kicks like he did many times, then you have no chance to win the title."
Dyche challenges Everton to 'go and do it again' after crucial derby victory
Sean Dyche challenged his Everton players to "go and do it again" after his team defeated Liverpool at Goodison Park in the Merseyside derby.
Everton won 2-0 on Wednesday, clinching a home victory over their local rivals for the first time since 2010 thanks to goals from Jarrad Branthwaite and Dominic Calvert-Lewin.
While it also dented Liverpool's title hopes, the victory presented a huge step forward in Everton's hopes of staying up.
They are now eight points clear of the relegation zone, with four games left to play, and the possibility of points to come back should they successfully appeal the second of their points deductions for financial breaches.
Dyche, though, insisted the job is not done as he looks towards another big game on Saturday, when Brentford visit Goodison Park.
"Very pleased with the reaction," Dyche told Sky Sports.
"This was a different game with the organisation and the belief in the organisation. They're a good side, we know that. The commitment from us had to be there. The energy of the side and also the key moments.
"We spoke about the desire and the energy of the team and the physical side of the game. The lads did it on Sunday and they'll have to do it again. That's the challenge.
"We stayed focused tonight and I asked if they could stay with us and they did. Sunday was massive and now it was a massively important derby game. For people like Seamus Coleman, he wears his heart on his sleeve and he's so happy.
"We should be on 41 points and the story's different. Three clean sheets in three home games. The challenge for the players is to go and do it again."
Calvert-Lewin led the line brilliantly, converting Everton's second with a towering header early in the second half. He has scored three goals in his last four Premier League games for the Toffees, as many as in his previous 28 appearances in the competition.
"I thought [Calvert-Lewin] was outstanding tonight," Dyche said.
"We've been trying to get him back to where he needs to be and I thought he was outstanding. He gets a goal. He tried to get it over the line and I love that. The second one is a great header. No, I thought he was outstanding tonight.
"Jordan Pickford made some big saves in the first half. It's rare you stop these sides having chances so you need moments yourself. It's hard to pick out one or two [players]."
Man Utd matchwinner Fernandes: Criticism part of the job
Bruno Fernandes said Manchester United's players cannot afford to get annoyed by outside criticism, after he scored twice to fire the Red Devils to a much-needed win over Sheffield United.
Erik ten Hag's team were roundly criticised for their performance in Sunday's FA Cup semi-final against Coventry City, as they surrendered a 3-0 lead to draw 3-3 before inching through in a penalty shoot-out.
They had also gone four Premier League games without a win (three draws, one defeat) prior to Wednesday's meeting with the rock-bottom Blades, with their hopes of Champions League football all-but over.
They twice trailed as Sheffield United threatened a huge upset, but Fernandes scored twice and supplied an assist as they fought back to claim a 4-2 win.
Asked whether the noise around Sunday's semi-final win had affected the mood at Old Trafford, Fernandes told Sky Sports: "That's part of the job.
"You can be in a run of games where you win eight or nine in a row, and when you lose one you know you'll be criticised.
"Being at Manchester United demands winning every game, so it's part of the job. If there is anyone in the dressing room still not used to that, they will get used to it!
"Being a Manchester United player demands being ready to receive as much criticism as praise. We receive praise when we do good things so we can't be annoyed by the criticism.
"When people want to do that, they might have a point. We can think in a different way, but we have to take it in the same way as we take the credit they give us."
Ten Hag's team did look disjointed for long periods on Wednesday, though, and they have now conceded 50 Premier League goals this season.
The Red Devils have now shipped a half-century of goals in two of their last three Premier League campaigns, having done so just once in their previous 29.
Ten Hag, though, was content with most aspects of their performance, saying: "It was a good game for the crowd, they saw four goals and many chances that we created.
"I think we played quite well, we created many more chances, so there's many positives. But also negatives. Conceding two goals from giveaways, that's unacceptable.
"We want to play dynamic, attacking football. That is what we want to see. Since the winter we have created lots of chances and also scored a lot of those chances."
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