It must be admitted that Man United defense is quite weak and the players he just bought did not contribute much, including those who were busy enjoying their injury period. Meanwhile Liverpool in terms of squad depth seemed to be given a treat seeing Man United weaknesses. So actually if Liverpool maximized their performance, more goals would be scored. Arne Slot did not want to rush so he just locked in 3 points without giving Man United a chance to score a goal in return. I'm sure Mo Salah and Diaz are still not satisfied with scoring goals. No matter what, this is the true quality of Erik Ten Hag, no matter how great the players he bought when in his hands will be dull and useless.
Slot didn't change anything in Liverpool and they play better than Manchester United, who again spent a lot of money on new transfers, but certainly didn't get better. Their new acquisition De Ligt played a very weak match, perhaps Kompany was right to say that he doesn't count on this defender, ten Hag replaced him in the 69th minute. And Onana remains the same, good matches are followed by disastrous ones, nothing new, the same problems and it seems to me that Manchester United should have thought about changing the goalkeeper a long time ago.
Arne Slot only bought 2 players this summer some of Liverpool's mainstay players are still at their club still playing quite well in the team even though Jurgen Klopp left, Liverpool's new coach Arne Slot can still handle it and not overhaul the players massively, the defeat from Liverpool was not a surprise last season also was like that Erik Ten Hag could not handle this club the club should have fired him.

Source: Google
In fact, if you look at Liverpool, they didn't make many shots on target, only 3 were on target and that resulted in goals all of which were goals, Manchester United goalkeeper Andre Onana couldn't make any saves at all, in fact he has always made mistakes for a long time, he is not a goalkeeper who is suitable for a club like Man United.