If Time Machine is still unable to complete a backup, please note the alert message it sends. If they are not the same, you need to erase the partition and select the format to the same as Startup drive. The format of this drive should be the same as your Startup drive.
If you are not sure, please check in Time Machine Preferences.
It supports to recover videos, photos, documents, app data and more after deletion or format. If you lost files due to backup failure, UltFone Mac Data Recovery can help you recover with no worries.