Milan only goal is the cup, any other think is a bad aproach for the team.
Think in this way, if they win today against Genoa they are gonna still being pretty far from european positions and with only 3 rounds to go, so its doesnt make any sense to fight so much in Serie A games and focus full on the only tournament you can win right now which is the Italian Cup.
They are currently in 9th place in the league. They took a 2-1 lead in the match. There are 3 matches left and they will probably not be able to achieve the required ranking for the European cups. Napoli could not go last year and Milan will not be able to go this year, but Napoli is running for the championship this year and maybe we will say the same thing for Milan next year. They have to make the best transfers in the summer transfer period.