Aguero made a goalscoring return from injury on Saturday at the Etihad, but it was Klopp’s Reds who dominated throughout as the German’s side ran riot with a 4-1 win over Manuel Pellegrini’s title hopefuls.
Strikes from Roberto Firmino, Philippe Coutinho, Martin Skrtel and an own goal from Eliaquim Mangala gave the visitors a stunning victory over the Citizens, as the 18-time champions bounced back from defeat against Crystal Palace prior to the international break in style.
The high-intensity pressing game favoured by Klopp was out in force in Manchester, and a front three of Firmino, Coutinho and Adam Lallana ran Pellegrini’s men ragged as Liverpool recorded an impressive away-day victory.
Klopp also masterminded a 3-1 win away to Chelsea back on October 31, and speaking to the Daily Star about the charismatic former Borussia Dortmund coach, Aguero said that he is pleased to see such a quality coach operating in England.
The Argentina international said: "Jurgen Klopp has come in and he's a great addition to the Premier League.
"It's a good thing that the best players and managers come to England – it makes it one of the most competitive tournaments in the world.
"Klopp did a great job at Dortmund and that secured his spot in the Premier League. I'm sure he'll have the time he needs to adapt.
“But playing against tougher opponents makes us all better at our jobs."
Progress was slow in the first few weeks under Klopp as a creditable goalless stalemate away to Tottenham was followed up by two more draws with Rubin Kazan and Southampton at Anfield, but the new-look Reds have begun to find their form of late.
Four wins from their last five have given them more solidity, and with Daniel Sturridge back in the side, along with captain Jordan Henderson’s impending return from a lengthy lay-off, the outlook is positive for the red half of Merseyside.
Klopp’s men host Bordeaux in the Champions League on Thursday, before Swansea City visit Anfield on Sunday, and the test for the ex-BVB coach now is to figure out how to harness his side’s away-day prowess in front of a home crowd who were quick to abscond in the 2-1 defeat to Palace on November 8.