Moyes said: "If there was an FA inquiry I would wonder why. The ball was dropped by the goalkeeper and if I was a player I would definitely have gone for it. I would have expected any of my players to go for it.
"I think the only reason there was a melee was because it was after a corner and it was in such a close, confined space. There were so many players in there defending and attacking the corner."
McClaren said: "It was a melee and these things happen in the game. Both teams reacted as you would expect them to react in that situation, by looking after their team-mates and sticking together."
The result means fourthplace Everton are seven points clear of Merseyside rivals Liverpool and a further point ahead of Boro as they compete for the chance to play in the Champions League.
