How to redownload Xbox 360 games bought on Xbox one X To Xbox 360
Solution 1:
If it says that it is corrupted I would delete the game and redownload the game in full on the 360 through the store. Make sure you are signed into the same account that you purchased the game with.
Edit: If you have save data so long as you are only deleting the game application itself, you should not be losing any save data.