The City boss said members of the crowd at the Reds threw coins at him.
As City's perfect start to the season came to an end, objects were thrown in the direction of the coach.
The crowd tried to touch me. Next time, maybe they will be better.
The away end's chanting was condemned byLiverpool.
There were vile chants relating to football stadium tragedies from the away section. The club said in a statement that the concourse was vandalised with graffiti.
The impact such behavior has on the families and survivors of disasters is well known.
We will work with the authorities and Manchester City in order to eradicate the chants from football altogether.
Foden's second-half goal was ruled out by the video assistant referee due to Erling Haaland's foul on Fabinho.
"Oh, horrible, I heard of the coin throwing," said the manager of the Reds. I would like to apologize. I would like to apologize for that. I didn't know anything about it. Never should it happen.
After City's Ederson was beaten by a composed finish 14 minutes into the second half, the Reds took all three points.
The German was sent off by the referee after he protested against a challenge on the Egyptian.
"This is a game where there are really fine margins and the mistakes are punished, and we played a really good game but that is not the case here," said the coach.
The reason we lost the game was because we made a mistake.
We played to win the game today. The crowd shouted after the first goal, but we shouted more after the second.
There were a thousand million fouls like this and this one is because we scored a goal. It would not have been allowed if we had scored a goal.