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.
Liverpool cannot take because they lost out in three competitions and jeopardize their chance of winning the Premier League title because they are already topping with clear gaps so i don't see any excuse they will give if they don't win the Premiership title this season. I know that sometimes losing out of a competition that a team puts so much efforts can be demoralizing but they should not allow their psychological situation to affect the beauty of what they have ahead of them. It is even better for the Reds now that they are only focusing on one competition unlike when they were involved in the FA Cup, EFL Cup, Premier League and the Champions league. Now that they are literally facing the Premier League will bring them to reality that it's the only trophy left for them and they won't dare put their chances of winning it at stake.