I'm also sure, Liverpool will try to get up even though it's hard to serve Manchester City. A big win in the Champions League became an important capital for the Reds to campaign for the mission to rise. But Haaland made the difference in that match, Klopp had to prepare a special strategy to turn off his movement. If not, Liverpool will again be made to suffer in public.
A big win in UCL can be a motivation to play better for Liverpool players. And playing at home can be an advantage for Liverpool players, they may feel more comfortable and confident. However, Man City is the strongest team in EPL and they never got a loss until now. Also, Man City has many top players who played at their best level during this season. This can be a big challenge for Liverpool to steal points from them. To be honest, I am not sure that Liverpool can win against Man City, the possible result may be a draw. It will depend on how good Liverpool defenders play. If they can play solidly, Liverpool can expect to get a point. But if they play poorly, Haaland, Bruyne, or Foden will destroy Liverpool with big scores.