The controversial Argentinian continued his rehabilitation after last season's troubles by pouncing on a Martin Skrtel mistake at Anfield and ensure City avoided a first loss of the season. It capped a lively performance from the rejuvenated 28-year-old, who also scored in last week's defeat of Southampton and in the Community Shield against Chelsea.
Mancini said: "Carlos is in good form at this moment. I am happy for him. It is important he continues to play like he did in these two games."
Despite Tevez's excellence, Liverpool still dominated most of a pulsating encounter and deservedly led twice through Skrtel and Luis Suarez either side of a Yaya Toure effort.
Ultimately a draw might have been a good result for City but Mancini was still disappointed to settle for the point.
He said: "We want to win, always. We were 2-1, 1-0 down but we didn't deserve to lose this game because we played well.
"I think we did a good performance, we played very well in the first 30 minutes. We had good chances and if you want to win a game at Liverpool, you should score."
Meanwhile, Liverpool manager Brendan Rodgers felt he should have claimed his first league win since taking charge.
The Reds were much improved from the side which crashed 3-0 in their opener at West Brom, with midfielder Joe Allen particularly impressive on his home debut.
"The best team didn't win. I thought we were outstanding, playing against a top side," Rodgers said. "Once we managed that first 10 minutes, tactically the players were terrific."
Source: PA
Source: PA