I knew that Chelsea was going to have a better performance in that game because recently their defense has improved, and considering that they still have something to play for in the league I knew that they would take the game more seriously than Liverpool was going to do so. Liverpool were playing Arsenal next and with the recent drop in form of Arsenal I'm a little skeptical about how they will perform in that game because they need the points actually if they intend to stay second place and secure their place in the Champions League next season.
Liverpool are already Premier League champions. So Liverpool players are not feeling any pressure now. Looking at Liverpool's performance against Chelsea, I don't think Liverpool wants to win the match. Liverpool would have been happy to draw and that was their target. But Liverpool lost 3-1.
You are right that Chelsea's overall performance is very good now. We can see the improvement in Chelsea's defense in particular. Chelsea will continue to fight until the end of the season to qualify for the Champions League. However, it will be difficult to continue the winning streak against Newcastle, Manchester United and Nottingham Forest.