Mbappe is an ambitious player and he will want to win maximum titles as he can, and surely both La Liga and Champions League are big titles. Winning both big titles will increase competitiveness for Mbappe to win Ballon d'Or next year. This personal award is one of targeted awards in Mbappe career and is one of main reasons he decided to leave PSG and join Real Madrid last summer transfer season.
It would really be nice to see Mbappe win the La liga and the champions league in his first season but even if he doesn’t win them both now winning one of them would not be bad at all as the team is likely to win the other in a few years to come so the chances of him winning the Champions League and La liga in a few years is high. With Mbappe’s performance already this season if he wins the La Liga and Champions League he will definitely be a contender for the Ballon D’or. Mbappe doesn’t only need personal awards but also he needs to win the champions league to complete his trophy cabinet, I believe he would win it with Real Madrid soon.