Manchester United manager, Erik ten Hag, has said he wanted a reaction from his players after they lost 6-3 to Manchester City last weekend.
However, it was Everton who took the lead through Alex Iwobi, before Antony levelled for 1-1 before half time.
Cristiano Ronaldo then won it with the 700th goal of his sparkling career.
Ten Hag told BBC Sport: “We wanted a reaction [from the Man City defeat]. We got it already in Cyprus and we had to finish this week good and we did. We develop as a team. We have steps to go. There’s room for improvement but the first half was quite good. We controlled the game in and out of possession.
“I’m really happy. A long time since Man Utd came back from a setback with a goal to win the game. That’s good for belief in this team that they can do it.
“Twice In three days we have to stay composed and stick to the plan and see what can happen. An unlucky situation can change a game but it can’t change the plan. You still have to come back. That’s what happened today and on Thursday.
“You never get everything [right in a game]. Footall is a game for mistakes. We had really good situations in the game. You could see the principles of how we want to play. We made a good goal out of transition twice.
“I was also happy with the subs coming and making an impact.