He added another when set up by Aguero, who unselfishly squared when through on goal, and substitute Leroy Sane netted twice more to complete the rout.
City ran out 5-0 winners against Liverpool in the end, and Carragher was not impressed either with Klopp overlooking Lovren when changing to a back three later in the game.
"It was an accident", said Klopp afterwards.
Being down a man for 55 minutes, Liverpool mentally checked out early, to then focus on Champions League competition in midweek. Umpire Jon Moss did not be reluctant in brandishing a red card as Ederson left the area on a stretcher.
Liverpool were ripped apart by Manchester City at the Etihad Stadium yesterday and the fans are rightly furious.
45+6' - GOAL! Manchester City 2-0 Liverpool (Jesus).
Gabriel Jesus doubled the lead deep into stoppage time, thanks to a sublime assist from Kevin de Bruyne, before further extending the lead in the 53rd minute.
Manchester City full-back Benjamin Mendy this evening provided a typically witty response when questioned on the injury picked up by teammate Ederson during the Citizens' demolition of Liverpool yesterday.
"The game was open until the sending-off", he told Sky Sports.
Klopp elected to bring on Oxlade-Chamberlain for his club debut at the interval, replacing Salah.
Guardiola said: 'We play so high, the goalkeeper has to play on the 18-yard box to help us with these forward balls. "I didn't speak about the decision when we had Kyle Walker sent off against Everton so I will not now".
Eric Bailly has received rave reviews since arriving from Villarreal last season and deservedly so.
Romelu Lukaku gave United, who had made a 100 per cent start to the new Premier League season, the lead on 57 minutes after his initial shot had been saved by Jack Butland.
Arsenal bounced back from their 4-0 thumping at Anfield as they beat Bournemouth 3-0 at the Emirates to make it four defeats from four for Eddie Howe's side.