The Reds took the lead at Anfield thanks to Emre Can’s deflected shot in the ninth minute, but Chelsea soon fought back through Gary Cahill in the 14th minute.
The visitors then went 2-1 up when Diego Costa fired home in the 67th minute and held on for the win, despite Liverpool’s shouts for a penalty when Cahill appeared to handle the ball in the penalty area.
“I was on the bench in the second half and for me it did not look the normal pressure you feel at Anfield because my team is fantastic,” Mourinho said.
“I thought Liverpool tried everything, they did well, but Chelsea was the best team. My previous team started winning in 2004-05 and the same team won year after year, trophies after trophies.
“This is a new team, a new era for Chelsea. We are obviously happy with the squad and the quality of football but no team gets into history without trophies and, at the moment, this team has no trophies.”
The win left Mourinho’s Chelsea nine points clear at the top of the Premier League table.
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