Goals from Fabinho, Mohamed Salah and Sadio Mane put the hosts 3-0 up at Anfield before Bernardo Silva pulled a goal back for the visitors.
The result left Liverpool FC as the firm favourites to win the Premier League title this season, with Jurgen Klopp’s men currently eight points clear at the top of the table.
Manchester City dropped down to fourth spot in the table after Sunday’s result.
Despite the disappointing nature of the defeat for his side, Guardiola insisted that he was proud of his players for the way they performed at Anfield.
Speaking to Sky Sports after Sunday’s game, Guardiola said: “Congratulations to Liverpool, they scored three, we got one but I’m so proud of my team, few teams can come here and play the way we did.
“We started incredibly well, we showed incredible bravery, they are the champions of Europe and it is the most difficult stadium in the world. We played like back-to-back champions.
“We cannot deny how good Liverpool are but the way we played, the personality, it was good.”
Asked whether he thinks his team can catch Liverpool FC in the Premier League title race, the Spaniard replied: “I am not a magician; I don’t know the future.
“We have Chelsea at home next. We will try to beat them.”
Manchester City will return to Premier League action with a home clash against Chelsea FC after the international break.
Liverpool FC, meanwhile, will travel to Crystal Palace after the international break on Saturday 23 November.
The Reds are aiming to go one step further than they did last season and lift the Premier League trophy this time around.
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