Jurgen Klopp's side took the lead early in the first half and scored the second just seven minutes later to stamp their authority on the champions. City responded well but found it extremely difficult to pull a goal back in the first half.
Sadio Mane's second-half header sealed the tie for the Reds who looked fairly comfortable even after Bernardo Silva's goal.
With the gap between the two teams up to nine points now, Liverpool have a massive advantage over their rivals as they look to win their first league title in three decades. Despite the massive advantage, Rodri was adamant that the title race isn't over just yet and the Spaniard gave last season situation as an example.
"We are far from them now, but there is still a big part of the season left. We are not going to give up. We are the current champions and we are not going to make it easy for anyone. Last season, the team was seven points behind and it could have been 10 in case of losing (to Liverpool), and they managed to win the league in the end," he said.
Liverpool had a ten-point lead over Pep Guardiola's side at the end of December last season but a barren spell of just four wins in nine games cost them the title by one point. The Reds should have learnt their lessons by now and it is highly unlikely that they will make the same mistake again.
However, if there is one team in the league who can press Liverpool for the title even at this stage, it is Manchester City. With 26 games still to be played in the league, anything is possible and Guardiola will do everything he can to win his third consecutive Premier League title.
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