Mane scored both goals in the 2-0 win over Chelsea which marked Thiago's debut off the bench, and it was a lively cameo from the newcomer.
With 833 goals in 173 appearances for Liverpool, Man is now joint 19th with Albert Stubbins and is likely to maintain his century record for the season.
"So, I'm in the 20 top scorers [now] and I'm really happy about it. I'm looking forward to scoring more and more goals for the team and to be closer [to the rest of the names on the list]".
Four minutes later, his perseverance and speed were revealed as M, additionally inspired by the frustration of admitting possession seconds before, chases Kepa Orizabalaga and interrupts his clearance before slipping on the way back.
Mane added on his deadly double against Chelsea, with his performance at Stamford Bridge showcasing his clinical finishing and boundless energy: "I'm really happy, of course I'm really happy especially as a striker to score goals and the team win, that's one of the best things that can happen to you. He did it really, really well", Klopp said. Liverpool will be without skipper Jordan Henderson for the match against Arsenal.
Xherdan Shaqiri, Takumi Minamino, Marko Grujic and Divock Origi shared the other goals, perhaps giving Klopp some extra food for thought as he considers Monday night's Premier League clash with Arsenal.
"I think in the first half there was a class of finishing from Liverpool, with one or two mistakes", he said.
Last week Thiago Alcantara's arrival from Bayern Munich has gave Klopp another exceptional midfield option and the Liverpool manager admitted Fabinho's versatility could be vital to his hopes of an extended run in the first XI.
Thiago finished off 75 passes, the most any player has tallied in a zenith of 45 minutes since such data started to be accumulated in the top flight in 2003-04.
".There is no doubt about Shaq's quality, there was never any doubt and in the moment everything looks really, really good, it looks promising and we will see".
"I have an idea, but why should I make the decision today when we have time until Monday? These footballers will also help take us to the next level, which is incredible for us and for the fans alike".