Goals from Adam Lallana, James Milner and Roberto Firmino gained Liverpool some revenge for the Capital One Cup final defeat to the same opponents on Sunday and left City 10 points behind leaders Leicester, albeit with a match in hand.
“It means the Premier League continues exactly the same all season. Not one team makes the difference,” he said.
“I am not thinking about the title and not thinking about not to qualify for the Champions League.
“The most important thing is to recover our performance in the Premier League, (put in) the performance we showed in the last two games in the Champions League and the Capital One Cup, and try to win as many points as we can.”
Pellegrini blamed fatigue for his side’s sluggish display and even claimed, despite City spending millions more than their opponents building their squad, Liverpool had more options to change things after Sunday’s final.
“We didn’t deserve to be 2-0 down at half-time but from the beginning I saw our team was not fresh,” he added.
“We had not recovered from the last week with the Champions League game with the travel from Ukraine and the game on Sunday.
“Liverpool had more energy, they recovered the ball at high pace so we didn’t have any chances to score.
“They could make more changes. We didn’t have any midfielders to change without Yaya Toure (out with a foot problem).
“We had just defenders or one striker to make the change, so I think that was the difference in the game.”
His side are only six points behind fourth-placed City and the victory breathed new life into a failing league season.
“We spoke about the final after the game, we spoke about this game,” he said.
“It was very important we showed the reaction, we showed we are not as disappointed as it could have had a negative influence on the performance.
“The boys did brilliantly. They were very angry in a positive way. The pressing situation was brilliant, the counter-pressing was good and then we had to score goals and we did.
“Being tired in this moment of the season is nothing to talk about because everybody could be, tonight is more about the mental thing.
“We lost on Sunday. We had to show a reaction. The most important moment of the season is now.
“We have to take what we can get. We have to stay angry, to strike back in each game.
“We have no points to waste in our time. Everything can happen.”
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LIVERPOOL 3-0 MAN CITY