The defeat meant the champions had picked up just one point from their opening two games.
“Real was very bad, an unacceptable match,” said Mourinho afterwards.
“The only message I want you to take away tonight is that it was a deserved defeat for us.
“This was a match in which the defeat was absolutely deserved. More than two matches with just one point it was a horrible match.”
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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.