When you select either Artist (head icon), Album (disc icon), or track (notes icon), they can each be listed eitheralphabetically (AZ with an arrow icon) or not (which will be mostly the order in which they were originally copied onto the B2).
As far as you backup disk, I'm not sure I follow you. First of all, have you used the Export command to do the backup? Or did you use the Backup command? I ask because the organization of the music on the backup disk will be different in each case.
When you view the contents of the disk on your computer using the File Manager (or Finder), you see a list of Artists - yes? Then when you select an Artist, do you then see a list of the Albums for that Artist? If not, please tell us what you do see?