You shouldn't run into conclusions on which club will be in the finals. Liverpool is still hopeful than Arsenal, because Tottenham only scored one goal. If Liverpool can win with two goals ahead, they will definitely be in the finals because Tottenham is not consistent. Arsenal might not qualify to the finals, because they need three goals to be in the finals and Newcastle is consistent in their matches.
I am pretty sure that Liverpool just simply doesn't look like they care about the EFL cup at all. Maybe they will recover and do better but I am not so sure that they even want to. Remember, this team is also on FA cup and they are also in the League and they are also on UCL all at the same time, which shows how this could be a very tough deal for them and not really look like it would make sense.
This is why I believe we may see Liverpool just not play with 100% here. In any case, I disagree with the notion that Liverpool may have hit the truck like City, just because they had a few bad results back to back doesn't mean that they are going to keep doing worse, it is not really something we should be concerned with, they are still a good team and I still think they will win the EPL as well. That's the most important part, not sure how well they can do at UCL but I am sure that they are going to end up winning the premier league and that's all that matters.
Liverpool is not worried about the EPL Cup at all, we can understand it by looking at their position. Liverpool is currently in a good position, but all other teams will still have to compete extensively to occupy their position, which may not be possible for them to surpass. But their loss in the FA Cup does not seem so weak to them, besides, Liverpool is currently in the best position in the UCL. However, we can ensure that maybe Liverpool will have to lose any trophy, UCL, FA Cup, these two trophies may not be in their hands. But we can give them assurance for the EPL and if Liverpool can manage their game in such a way and continue to move forward correctly, then they will be champions. Since Liverpool is currently in the best position in the UCL, it is not sure how long their position will last, but they are guaranteed to be champions in the Premier League.