Alex Iwobi's brilliant strike with just five minutes on the clock sent the Toffees ahead at Goodison Park, but Antony's third Man United goal levelled the scores in the 15th minute, before Ronaldo came off the bench to score for the first time in the league this season just before the interval.
The result has moved the 20-time English champions into fifth spot in the Premier League table, one point behind fourth-placed Chelsea, while Everton sit 12th, boasting 10 points from their first nine matches.