Alan Shearer says he saw similar antics against Barcelona in midweek and has labelled it unacceptable.
Ole Gunnar Solskjaer issued a stern warning to his players after their Goodison Park humiliation.
The result leaves United’s top four chances hanging by a thread, despite both Arsenal and Tottenham losing this weekend.
To make matters worse, the Red Devils face a rampant Manchester City side next in what could turn into another heavy defeat.
And Shearer questioned United’s desire in his column in The Sun, saying that in his view Everton wanted to win the game more.
“Anyone can have a bad game but Everton had so much more hunger than Ole Gunnar Solskjaer’s side,” he wrote.
“They just didn’t seem anywhere near bothered enough.
“The running stats — Everton ran five miles further — were embarrassing for United!
“I wasn’t impressed with United at Barcelona in the Champions League, where you saw players walking and jogging around the pitch.
“It’s one thing for that to happen against Leo Messi at the Nou Camp but it’s not acceptable against the likes of Everton.
“Solskjaer apologised to the travelling fans on behalf of the players, but it should have come from those players.
“While he will be badly hurting, his stars will sit and hide away and be fully content.
“Those same players played a part in getting Jose Mourinho the sack and they quite clearly need rooting out of the club.
“It can’t be a coincidence that the same names keep cropping up — they know who they are — and if the players don’t care enough then you need to get them out.”
United legend Gary Neville gave a similarly scathing analysis after the game, United’s eighth Premier League loss of the campaign.
And while he refrained from picking out underperforming individuals, the pundit said he will do just that after the Chelsea game on Sunday (4.30pm).