That dramatic result from the jaws of defeat means Jurgen Klopp's side are now 28 games unbeaten in the Premier League, while only a draw away to Manchester United has interrupted a ideal start to the domestic season.
Meanwhile, Frank Lampard believes the Premier League are setting a risky precedent with the use of the Video Assistant Referee (VAR) after technology intervened to give Watford a late penalty in Chelsea's 2-1 win at Vicarage Road.
Aston Villa boss Dean Smith believes referees' authority is being challenged by VAR. I had a big chance with about 15 to go, we just needed that goal for the momentum because it can change and that is exactly what happened.
"I was also close to scoring a second goal, but we did everything we could and will try to make up for the next game".
The Reds are famously without a top-flight title win since 1990, last winning the division prior to its 1992 rebranding as the Premier League.
Thai king's consort stripped of official titles
The photos show Ms Sineenat in a crop top while piloting a jet, and the King and her together in both candid and formal poses. The King's private life is not openly discussed in Thailand due to the country's draconian lese-majeste law.
Last season's breathless encounter at the Etihad saw Liverpool full-backs Andy Robertson and Trent Alexander-Arnold combine to superb effect for Roberto Firmino's equaliser in a 2-1 defeat, and the full-backs have continued to star.
Mane scored the victor in the fourth minute of stoppage time at Villa Park on Saturday, but only after being booked for simulation in the first half.
Manchester United hope of signing Leicester City midfielder James Maddison has been boosted as Brendan Rodgers told reporters that the decision lies in the player's hands.
The EPL's all-time top goalscorer said on the BBC: "Good teams keep going". Trezeguet his best game for Villa for me today, and then you've got Mings and Engels at the back. "They just drain you mentally". "When teams start arguing with each other you normally know you've got them".
City's match finished several minutes before Liverpool's game at Villa, and Guardiola added: "We arrived in the locker room and it was 1-1 and after it was 1-2. Maybe there will be a crossing championship next week, we will see!"