Bayern won on penalties after the second leg ended 2-1 after extra time.
“There was no luck,” Mourinho said.
“It’s difficult to reach two semis in two years and not make the final. We deserved to win.
“I remember a (Champions League) semi-final against Liverpool which was exactly the same where we had to play a game to compete in another championship before, and they didn’t have that pressure, and we lost.
“It was the same here. We played with everyone on the weekend and our opponents didn’t.
“Apart from freshness, the team played great though. These players aren’t supermen, that is just a film. The players went to their very limits.”