We will know how motivated Liverpool are after they play their next Premiership match because ideal situation is always different from reality. You may be expecting them to be highly motivated to focus on the league without knowing that they have been demoralized by the two consecutive losses that kicked them out of the two competitions which they were even the to win the cup. Such psychological condition can impact them negatively in the Premier League matches and make them lose or draw matches they were supposed to win. Anyways, it is my expectations that it does not get to this point for them so they don't put their chances of winning the Premiership on the line.
I'll not be surprised if Liverpool after the international break begins to drop points in the league after their disappointing elimination from the UEFA Champions League followed by a Caraboa Cup final defeat to Newcastle last weekend. If only Mikel Arteta's Arsenal were more consistent than they've been, this would've been a perfect time for them to hope for Liverpool to drop points so they can win the league but considering the points difference between not the teams, it's almost impossible for Liverpool to miss out from winning the English Premier League title this season.
Arne Slot started the season very well and that gave Liverpool fans a big hope that they'll most likely finish the season with more than a trophy but at the moment, it seems they'll be settling for just one trophy which is the league trophy