As we saw last week against Chelsea, City was unable to win, how could you think that Manchester City could beat Liverpool, look at how Manchester City's back line conceded four goals so easily, this is a mistake that Guardiola must immediately fix, of course. It would be very detrimental for Manchester City if they didn't really fix their shortcomings in the back line which was quite lacking in strength like last season.
On the other hand, Liverpool can't able to win against Luton Town which currently at 17th position and lose against Toulouse which currently at 14th position. 
But we need to take a look with the current condition, Manchester City will play without Ederson, Haaland, Ake and other players that still injured, they're lack of players. While Liverpool has more players, so I think this will be advantage for Liverpool and they have a better chance to win.
Erik Ten Hag has failed in some areas and has taken too long to get these issues fixed up, but I will not support his sack for he understands the fans and the club very well.
What Manchester United is facing right now though is more than manager issues, at least he was told before joining Manchester United.
Qualification for the round of sixteen Gon be hard, but the Premier League top four would be possible.