Mason Mount had another Chelsea effort ruled out for offside leaving the teams level after 90 minutes and forcing extra-time, past midnight local time, and Liverpool struck after just five minutes with Mane driving home after an excellent exchange with Firmino.
Liverpool, who beat Tottenham Hotspur in June's Champions League final, have now won the trophy on four occasions while Chelsea have lost their last three appearances in the match.
Klopp is now faced with the prospect of playing Andrew Lonergan at Southampton.
Meanwhile, the Reds will hope that Adrian recovers in time for the Southampton clash, with the Spaniard out with a swollen ankle.
"The Liverpool manager paused his TV interview to call out the keeper's name and referenced a scene from the hit film Rocky".
The Reds and Blues were on very different ends of very similar drubbings on the opening weekend of the 2019-20 Premier League season.
"I don't think anyone in the stadium wanted to see twice 15 minutes", Klopp said. Nobody wanted extra-time.
Another clue points to Apple revealing iPhone 11 on September 10
The Brazilian Apple fan site noted that it found a similar screenshot in 2018, before the iPhone XS models' September 12 reveal. A couple of recent leaks claimed that Apple will do things differently this year when it comes to the iPhone 11 naming scheme.
These fans react as Liverpool win UEFA Super Cup
But, yesterday morning (Singapore time), he had a Uefa Super Cup winner's medal slung around his neck after emerging as Liverpool's saviour in their 5-4 penalty shoot-out victory over Chelsea.
Murray loses singles return in first round
The three-time Grand Slam champion broke down in tears at January's Australian Open , dreading his career might be over. Andy Murray moved well in his first singles match since January, but not well enough to move on - even to the U.S.
Chelsea manager Frank Lampard took positives out of his side's performance.
City played 61 games on their way to a domestic treble last season, and Liverpool must realistically plan to play at least 60 this term, unless they suffer similarly tough draws in the entry rounds of the domestic cup competitions as they landed past year. "It was a insane week but with (my team mates) it's so easy playing at the back". Twelve months ago, the Liverpool squad started the season after a much lighter World Cup workload than their rivals, but this year, the boot is on the other foot.
Jurgen Klopp has shed light on his decision to substitute Alex Oxlade-Chamberlain at half-time of Liverpool FC's victory over Chelsea FC in the Uefa Super Cup on Wednesday night.
Klopp continued: 'Before the season at the Premier League meeting they told us do not get involved with anything like that, but we are all human beings and if they get close you do not know the person and for us it is not amusing.
"It was a big fight tonight", Klopp said.
As for the opposition, Liverpool, have a few injury and fatigue concerns themselves.