"In the first half he was tackling, he recovers balls, he holds the ball, and his movement was quality. Everything was really good.
"Diego had three chances and he scored two goals. He is a good finisher and he gives us a lot. In the end we are killers in attack."
Mourinho was, however, disappointed with the manner in which Everton's players attempted to provoke Costa during the game which earned him a booking.
"I was not happy with the way some Everton players tried to create problems with Diego," he added.
"I don't think it is in keeping with the Everton team, because they are positive in every aspect, to be chasing cards for a player who was here to play football."
Everton manager Roberto Martinez responded to Mourinho's criticism, adamant that Costa must learn to adjust to the different sporting ethos of the Premier League.
"I am disappointed if a manager is complaining about the attitude of the players," Martinez added.
"I think certain foreign players when they come to the Premier League need to understand the ethics and the culture.
"That's something he (Costa) will learn about. There is a professionalism in this league which he needs to understand."
- AAP