How to access 2 Time-machine backups with file integrity intact on one mac?

Hi, I don't know if the questions above is correctly explain the situation. Anyway here is the situation.

I was once use a company MBP daily use. Work and personal related files are in it. Then i got my own MBP and I backup my files on company MBP and wipe the mac.

On my own MBP, I didn't directly restore, but i setup as new and accidentally backup time-machine on the same external drive that has my old company MBP files.

So now i got two folders on my Backups.backupdb with respected folder name of each user account.

My question is, how to access the integrity of my old MBP backup?

Because right now, on my new MBP, I can only see my backup of my current MBP (which already has quite some files)

I can access the old MBP backup but in folder view. Not time-machine GUI view, which is easy to navigate and to look for file versions.

Additional info:

Old MBP was running on Sierra/High Sierra

New MBP runs on Catalina

Time-machine is WD mypassport 1G