Yes it is exported, I exported the project onto google drive for testing purposes
Then as has already been explained, it is impossible to recover a project from the exported project.
Have you got the autosave and backup options setup?
If so, there should be the .autosave and .backup files in your original project folder. You would just need to rename them as something like 'mygame.capx' and you should be able to open them in C2.
See the following section of the manual that covers the autosave and backup options in Preferences.