I'm getting the same issue:
Repairing file system.
Volume was successfully unmounted.
Performing fsck_apfs -y -x /dev/rdisk12s2
error: container /dev/rdisk12 is mounted.
File system check exit code is 65.
Restoring the original state found as mounted.
File system verify or repair failed. : (-69845)
In prior OS thru the years as a practice in maintenance I would occasionally run repair on all my disks including the system disk & Time Machine. All would go smoothly. I never had an issue up till now, with Big Sur.
My Time Machine drive is formatted with APFS. I reformatted the drive. Started over, and still it happens. I replaced the drive with a new drive and it still happens. Time Machine still seems to work. Though fortunately I never had to use it for a restore. Thus, I'm really not 100% sure it's working. :-)) Yes, I also backup with Carbon Copy with 2 separate copies. It's a great utility.
This is a bit odd, eh? Running repair with Disk Utility, should work. There's definitely, some issue and it has nothing to do with drives. I tried 3 different drives (including new) and the issue still persists.
This problem is specific to the Time Machine utility.