That's helpful for some to learn.
You should still have what was synced to Google. There is no full backup facility as such with Google, sadly. I think mostly because if you have a software issue, you would just be re0installing the old problem. Media needs to be backed up either in the cloud with Google+ (me no likey) or Dropbox, Drive etc.
OEM specific files like with Samsung are synced with a Samsung account or Samsung Kies (the closest thing to a full backup program).
Apps can be saved fully with Helium backup, though Google syncs apps well enough for me.
Contacts, Calendar, mail, browser etc is usually synced regularly with Google. If you had a Motorola like the OP I think this is all the backup does.
I hope you can sync some data back from your Google account, but media would be lost without a prior backup yes.
Again I think Motorola's backup screen is misleading. Sorry you had a bad experience.