If there wasn't any offside on Chilwell's goal maybe things would have been much more different for the Chelsea - Liverpool game. But it was still not seeming easy for Chelsea to win the game of course. They had a quite big dominance in ball possession but when it comes to finding chances there wasn't a big difference.
The problem for Liverpool was that they had big problems on finding the target. Despite 13 goal attempts only 1 of them was on target which ended up with a goal. It looks like Liverpool aren't quite ready for the season as well. But this is only the beginning so let's see the next ones.
Since we are still in the first weeks of the league, I don't want to criticize too much. I actually liked Chelsea's game in this match. Because last season they had a hard time finding a position and carrying the ball to the opponent's court. Compared to the matches last season, they found a more comfortable position in this match.
I don't think Liverpool is ready for the league yet. They create a lot of chances, but they can't score. They cannot evaluate the positions they produce.
Since we are in the first weeks, we can watch such matches of big teams. I'm sure they will play better football every week.