Manchester United boss Louis van Gaal was delighted to win the last game before the international break as the Red Devils move up to fourth in the table.
Angel di Maria opened the scoring in the 27th minute of the game with the visitors restoring parity through a Steven Naismith header only for Radamel Falcao to secure all three points with his first goal for the club.
"Falcao was forcing himself last week against West Ham," van Gaal told BBC Sport.
"I told him to be satisfied about his performances and that the goals are coming.
"The goals are coming! He will be even better after the international break.
"He [Luke Shaw] has a dead knee. He could have made it worse, so that is why he stepped out."
Man of the match David De Gea produced three fantastic saves to deny Everton and the Dutchman was full of praise for the 23-year-old at the end of the game.
"Again we were waiting for the signal of the referee to end the game," added van Gaal.
"Everton got chances outside the box and they had good shots, but David De Gea was fantastic.
"It was not easy for him because he had a lot of players in front of his view.
"Despite that he stopped good and speedy shots. I was very pleased with his performance."