Over the years, Jose Mourinho has been criticised for shutting up shop in big games.
But Neville told Sky Sports: "If I remember rightly, in Jose's first season it was a really bad game at Anfield on a Monday night," Neville told Sky Sports.
“He went into the game with injuries and on the back of some bad results. There was a feeling that he couldn't lose the game otherwise things would start to go wrong quickly, like it had done for David Moyes for example, so it was a really dour game.
"The game this year at Anfield, I've said it before, a Manchester United v Liverpool game can be a draw, there can be few shots on target because both teams are tactically aware of each other and they are focused and concentrating to win.
"But it can never be boring and it can never lack the intent to win.
"The game at Anfield this season was unacceptable and bordered on games we've seen in recent weeks. Both teams towards the end accepted that a point was the right result, Liverpool stepped off the gas a little bit and United were bang average.
"It cannot be like that. It's got to be better.
“Jose Mourinho received a lot of criticism after that game, and rightly so, and to be fair, in the big games since, he has actually changed his formation and tactics to be more attacking."