This worked great! I am a super new noob, and I didn’t quite understand the instructions (but they gave me enough clues to figure it out.)
Here’s my advice to the super-new:
Go to your new site and create a blank version of the module\
Go to your old site and copy the title of the module.
Give the module on the new site the exact same name as the old module. (You can change it later.)
Export the content of the new module. Then delete the file from the file manager.
Export the content of the old module. Go to the file manager, save it, then upload it to the file manager on the new site.
(Be sure the file names of each file are exactly the same. This is the whole point of the exercise.)
Now, import content for the new module. The file name should appear in the selection box.
Voila! Thanks EScout 209!