Now you should see your external drive at the bottom of the Project Library List view. Hold down the Command Key while dragging the small icon for your project to the small icon for the external drive.
Now, with the Project still selected, click FILE/CONSOLIDATE Media… and you can move over the Events, Music, and Photos for the project to the external drive as well.
Plug this drive in to the other Mac and you are ready to edit.
Time Machine completed a verification of your backups. To improve reliability, Time Machine must create a new backup for you.
Time Machine: About. So according to this Apple KB article you really have to allow a new backup to be fixed. Too bad there isn’t another fix.