Moz Backup was once a good program to move your bookmarks and user profile from one install to the next but Firefox has made changes since Windows 10 and Moz Backup stopped working too. The best option I have found to move your firefox profile over from one to another or a new pc is to use Firefox Sync. Just a matter of creating an account with FF and run the sync option.
This may or may not help you get your bookmarks back
If you have an account with the Firefox browser and previously used Sync, then it is just a matter to log into your firefox account and run Sync on the new install and then everything on your Firefox browser will be on your new install, including bookmarks