It's just that Liverpool were able to use their chances, but Inter, unfortunately, could not do it. Everything seems to have been made up of little things, but thanks to this, two goals were scored, and Liverpool does not look like a team that can miss such an advantage. On the other hand, anything can happen in football, so Inter does not need to bother much about this and just try to win in the second leg, because the club was perfectly able to resist Liverpool in the first match, it was not for nothing that Simone Inzaghi said after the match that Inter showed a very good game, especially in the first 25 minutes of the second half and deserved to score a goal and played the best game this season.
I think Inter's problem is that they have to keep working hard to try to win Serie A. If they were in first place with a few points ahead, it would be easier to manage the team for the Liverpool game. But that doesn't happen, so management is more complicated, because it's enough to take a bigger risk in one game, to compromise the entire season.
Liverpool, on the other hand, know that they hardly win the Premier League and are comfortable in second place. Therefore, he ends up being able to better manage the next games, in order to go with maximum strength against Inter.