Migrate time machine backup to new Mac
I used Migration Assistant to set up a new MacBook Pro 14" 2021 from an iMac late 2015 running latest Big Sur. With both machines shut down and powered off, I moved my Time Machine drive to the MB, booted up and in TM Preferences selected the drive for new backups.
When I enter Time Machine, it does not recognize the old backups. It says there are none and wants to start an entirely new set of backups.
I'm thinking of changing the name of the backups folder on the backup drive from
Backups.backupdb/Harvey's iMac
to
Backups.backupdb/Harvey's MacBook Pro
Will that work? If not, is there another way to integrate the old backups into Time Machine?