The 30-year-old has played almost 12 hours of football at Anfield without a goal, while he is also yet to find himself on the winning side.
Pep Guardiola's side were held to a goalless draw after Riyad Mahrez blazed over a late penalty in the closing stages of the match.
Aguero would have taken the penalty had he not been replaced by Gabriel Jesus in the 65th minute after failing to make an impression.
The Argentinian international has amassed just three shots on target in ten games at the Reds' stadium in a run stretching back to November 2008.
His first two visits to Anfield came as an Atletico Madrid player, before he made the move to join the Citizens in 2011.
However Aguero continues to be a menace for Liverpool at the Etihad, scoring in six consecutive Premier League games.
The 2014 World Cup runner-up has been on fire for City this season – netting eight goals in all competitions – including five in the top-flight.
But he was marked out of the game against the Reds, but it could be argued he should have been awarded a penalty after being bundled over by Dejan Lovren in the first half.
The result between the two teams see City remain top of the table on goal difference, with Chelsea leapfrogging Jurgen Klopp's men following their 3-0 win against Southampton.
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