Sixth-placed United's chances of finishing in the top four were dealt a blow at Goodison Park and the nature of Sunday's defeat prompted manager Ole Gunnar Solskjaer to issue an apology to fans ahead of the clash with their city rivals.
The United fans, who celebrated the victory at the end of the game with the manager and players, have not been the source of criticism of Solskjaer -- indeed the Norwegian has enjoyed strong backing from supporters who attend games at Old Trafford and those who travel away.
United's front three of Rashford, Martial and Daniel James showed electric pace on counter-attacks but Solskjaer reserved special praise for 19-year-old left back Brandon Williams, who was impressive in his first league start.
Solskjaer took over as caretaker manager following the sacking of Jose Mourinho in December and United have secured 10 wins in 11 games under his charge.
IMAGES from the English Premier League match between Liverpool and Manchester United at Old Trafford on Sunday
City's Guardiola defends Mendy after COVID protocol breach.
Samsung's new addition to the Galaxy S10-series has something for everyone, says Khalid Anzar.
Chelsea's 0-0 home draw with second-placed United ensured Thomas Tuchel is still undefeated in nine games since replacing Frank Lampard, but it meant they failed to dislodge fourth-placed West Ham United who became Manchester City's 20th successive victims in all competitions on Saturday.
Ole Einar Bjoerndalen earned his 13th Olympic medal on Wednesday to become the most decorated Winter Games athlete when Norway won gold in the biathlon mixed relay.
A host of additional features makes the A9G more premium and very useful, says Veer Arjun Singh.
News of all that's transpired on and off the football field.
Manchester City chalked up yet another victory to maintain their stranglehold of the Premier League title race but pursuers Manchester United and Leicester City both secured important wins to enhance their top-four bids on Sunday.
Images from the English Premier League matches played on Saturday.
He made history during their opening group match, as Salzburg hammered Genk 6-2.
Will the Pixel 5 and the Pixel 4a 5G phones tempt you? Are they worth their price?
Argentina forward Lionel Messi played down an incident in which someone tried to punch him outside a restaurant in his home town of Rosario on Thursday.
Is VAR sucking the life out of the game?
The Google Pixel 3a trades off some of the premium features of the Pixel 3, but these scale-downs are not noticeable in day-to-day usage, says Khalid Anzar.
Martial scored his 23rd goal for United in all competitions this season against LASK Linz in Wednesday's Europa League last-16 victory.
Chelsea have condemned online racist abuse aimed at defender Reece James and called on social media platforms to take tougher action against users who engage in such 'despicable behaviour'.
United led through Juan Mata's 11th minute strike but just before halftime the visitors were level when De Gea weakly parried an Antonio Rudiger shot into the path of Marcos Alonso.
Images from Thursday's action in the Europa League Europa League - Round of 16 Second Leg - matches.
Having enjoyed plenty of success at Old Trafford as Alex Ferguson's trusted right-hand man, the chance to return after a six year absence was not an opportunity the 56-year-old was going to let pass.
The re-born Paul Pogba scored twice, for the second time since Jose Mourinho's departure from the club, as Manchester United beat Bournemouth 4-1 to make it three wins in a row for caretaker boss Ole Gunnar Solskjaer.
Ireland beat Bosnia 2-0 to qualify for their second successive European championship finals on Monday, progressing 3-1 on aggregate after a Jon Walters brace secured a second-leg playoff win at the Aviva Stadium.
Marcus Rashford scored on his 100th Premier League appearance on Sunday to secure a 1-0 win over Leicester City that kept interim manager Ole Gunnar Solskjaer's dream start going at his old club.
Manchester United coach Ole Gunnar Solskjaer berated his team for their under par performance in the first half in their FA Cup semi-final first leg loss to cross-town rivals Manchester United
Leicester City reached the FA Cup final for the first time in more than 50 years
United youth product Gomes, 18, struck after Spurs' Lucas Moura cancelled out Anthony Martial's first-half opener and gave the 20-time Premier League champions another victory after they beat Perth Glory, Leeds United and Inter Milan.
Images from Sunday's action in the Premier League.
Former Europa League winners Manchester United booked a quarter-final spot in the tournament after their second-string side laboured to a 2-1 home win over LASK Linz on Wednesday to seal a 7-1 aggregate rout of the Austrian side.
Paul Pogba faces a race against time to prove his fitness for Monday's Premier League clash against Arsenal
Five talking points from the Premier League weekend:
Arsenal's best chance to equalise came from a Granit Xhaka free kick which looked destined for the top corner until the Gunner's former keeper Emiliano Martinez at full stretch pushed it around the post with a fingertip save.
Solskjaer is also hoping to keep hold of striker Odion Ighalo until the end of the season.
Manchester United returned to winning ways in ruthlessly emphatic fashion
Chelsea, Manchester City and Manchester United enjoyed comfortable wins in the English Premier League on Saturday as fans returned to stadiums after an eight-month absence.
Manchester City beat bottom club Sheffield United 1-0 to move three points clear of Manchester United who were held to a goalless draw at Arsenal in the Premier League on Saturday.
IMAGES from the Premier League matches played on Sunday.
Images from Sunday's action in the Premier League.