The hosts had a dream begin thanks to a calamitous error with the aid of United’s David de Gea, whose clearance cannoned straight into Dominic Calvert-Lewin and into the net for his 15th goal of the season.
Nemanja Matic’s shot smacked in opposition to the Everton crossbar three minutes later, and United continued to threaten the Everton goal, ultimately equalising after 31 minutes as Everton’s Jordan Pickford failed to stop Bruno Fernandes’ bouncing shot from 20 yards at his near post.
Everton upped the tempo following the damage and came close when Gylfi Sigurdsson hit the post with a dipping free-kick.
But there was once late drama at both ends in a interesting come across as each keepers redeemed themselves with fine saves and Calvert-Lewin had a late goal dominated out for offside as Sigurdsson lay in front of De Gea.
That led to Everton boss Carlo Ancelotti confronting the referee and being shown a red card after the remaining whistle with boos ringing round Goodison Park.
The end result means United prolonged their unbeaten run to eight games and remain fifth, while Everton’s probabilities of achieving the Europa League had been dealt a blow following Wolves’ win at Spurs.