"But the truth is that I don't think Bayern knew what they wanted to do".
Joel Matip's own goal levelled matters before half-time but Liverpool kept their illustrious hosts at arm's length throughout the second period, when Virgil van Dijk restored their lead before Mane headed his second of the game.
The Senegal global scored twice at the Allianz, his first a wonderful turn to deceive Germany goalkeeper Manuel Neuer which team-mate James Milner described as "ridiculous", to take his tally to 10 in as many matches.
Mane now has seven away UCL goals for the Reds - overtaking one Steven Gerrard who was the previous record holder. "He pulls really wide to give himself as much space as possible to run into", the ex-Liverpool striker said, per the Mirror.
GETTY IMAGESVirgil van Dijk outjleaps the Bayern defence to head in Liverpool's second goal from James Milner's cross
Right now, he is the best defender in the world, with nobody anywhere questioning his value.
So, English football is back, capped by Liverpool's victory in Munich on Wednesday night, but is the Premier League ready, once again, to dominate the Champions League? Hummels reads the game well, but his lack of pace is his and Bayern's Achilles' heel, while Sule is strong and athletic but cumbersome with the ball at his feet. He also scored a headed goal, Liverpool's crucial second, prompting Klopp to highlight his vast value to this team.
And Klopp couldn't help but praise his star man after the match that could see some big celebrations come May.
Here we compare our player ratings with those from the Liverpool Echo, the Mirror, the Guardian, Sky Sports, Anfield Index, FotMob and the This Is Anfield readers. "He is still young enough to get better".
Niko Kovac says his Bayern Munich side now have to concentrate on winning a German league and cup double after their Uefa Champions League exit at the hands of Liverpool. But if they do go all the way in the Champions League, nobody will be more important to them than Van Dijk.