"Tactically, Rafa Benitez is very good and that was something Mourinho did not quite appreciate," said Grant, who still hopes to return to the Barclays Premier League.
"He simply thought he was better than Benitez, and because he thought he was better he lost.
"One of Liverpool's great strengths is the way Benitez organises them as a team. They work for each other. But we applied some very simple ideas.
"You have to dominate them. That's the first thing. But we also focused on key areas and, more important, key individuals.
"Fernando Torres and Steven Gerrard work brilliantly together and even when Torres is not at his best he can still produce a great goal out of nothing. He did that at Stamford Bridge that night and took the game into extra time. He's one of the best strikers I have ever seen and I tried very hard to get him to Chelsea.
"But, if you can put pressure on Gerrard, you can make it more difficult for Torres and that night Claude Makelele did a great job. He made it hard for Gerrard and John Obi Mikel must do the same."