"(Leaders Arsenal and Manchester City) must have a very bad moment," Klopp, who looked completely shattered, said when asked about his team's chances.
Ten Hag's side twice trailed to the Premier League's bottom club at Old Trafford before Fernandes came to his beleaguered manager's aid in the second half.
Everton's first derby victory at Goodison Park in more than 13 years prevented Liverpool from climbing level with Arsenal at the top of the league table. Juergen Klopp's men are three points behind the Gunners (77) with four games to play.
Kai Havertz and Ben White scored twice as Arsenal thrashed Chelsea 5-0 on Tuesday to surge ahead in the Premier League title race and ramp up the pressure on Liverpool and Manchester City.
Erik ten Hag says the media reaction to Manchester United's performance in the FA Cup semi-final against Coventry was "a disgrace", robustly defending his side's achievement in reaching a second straight final.
Former Liverpool defender Jamie Carragher has accused Nottingham Forest of lacking "class" after the club launched a blistering attack on referees chiefs following Sunday's Premier League defeat at Everton.
Erik ten Hag admitted Manchester United "got away with it" after his team won an FA Cup semi-final penalty shootout against Coventry on Sunday following an astonishing collapse during the match.
Bruno Fernandes admitted Manchester United must "do so much better" after they squandered a three-goal lead in their FA Cup semi-final against Coventry on Sunday before winning the penalty shootout.
Liverpool got their Premier League title challenge back on track with a 3-1 win at Fulham on Sunday to move level on points with leaders Arsenal.
"It was a tough week for us, few tough results and emotionally really hard but we had to keep doing. Today was all about bouncing back and getting the win."
Manchester City’s defence of the UEFA Champions League came to a heartbreaking end when they failed to put away a resilient Real Madrid, going down 4-3 on penalties, at the Etihad Stadium on Wednesday.
Chelsea forward Cole Palmer has emerged as a Player of the Year contender thanks to a dazzling campaign that left Manchester City boss Pep Guardiola to rue what might have been ahead of their reunion in Saturday's FA Cup semi-final.
Pep Guardiola has revealed Erling Haaland could miss Manchester City's FA Cup semi-final against Chelsea at Wembley on Saturday.
Erik ten Hag claimed Manchester United's squad is not fractured after revealing Alejandro Garnacho apologised for liking social media posts criticising the manager's handling of the Argentine forward.
Mikel Arteta admitted Arsenal paid the price for making one big mistake as Bayern Munich's 1-0 victory sent his side crashing out of the Champions League on Wednesday.
Manchester City hold the destiny of the Premier League title in their hands after Arsenal and Liverpool stumbled to shock defeats on Sunday.
Everton have lodged a formal appeal against a two-point penalty imposed on the club for breaching Premier League financial regulations, reports said on Monday.
Manchester United's chances of Champions League football next season took another battering as Bruno Fernandes' double could only salvage a 2-2 draw at Bournemouth on Saturday.
Pep Guardiola said Manchester City are in a privileged position to be fighting to defend a treble of trophies after beating Luton 5-1 to go top of the Premier League on Saturday.