Man United were second best throughout the game and can have no complaints following what was a largely mediocre performance.
On the other hand, Everton were excellent, with goals from James McCarthy, John Stones and Kevin Mirallas securing the win.
It was a disappointing afternoon for United and van Gaal conceded that Everton were the worthy winners following the game.
Speaking about the fixture, van Gaal said: ”We have always had more fighting spirit on the pitch and I think that this is the first match that the other team have shown more of that than us.
“We created five chances in the first half – Marouane Fellaini had to score – that is more than Everton. In the second half they scored on the counter and we had to play against a defensive side.
“This was the first match when I saw a team that was more motivated and aggressive than us. It is not good, but we are human beings.
“We have to see that our opponents will defend more and cope with that as a club. Everton deserved to win – when the result is fair, you can live with it.”
United enjoyed large spells of possession against Everton but they failed to create any meaningful chances with it.
Van Gaal’s side were clinical during a recent six-game winning streak, registering memorable wins over the likes of Manchester City and Liverpool, but that form was nowhere to be seen at Goodison. It is a worrying sight for United fans but they will still be confident of picking up all three points against West Bromwich Albion next weekend.