I have enabled iCloud for iMovie, but they don't show up in the iMovie Media of my other MacBook.
Is it possible to access iMovie Projects with iCloud?
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Choose File > Open Library > New.
In the Save dialog that appears, type a name for the new library, and navigate to the location where you want to save it.
The default location is the Movies folder in your home folder.
A new library is created in the location you chose, and a new, empty event with today’s date is created.
I don't have iMovie, so you need to check if iCloud is allowed there. If not, you need to copy paste items from
~/Movies to iCloud.
As for iCloud backup that you mention, it could be system preferences etc that are backed up, not the Library itself.