You want to move your detailed ScanSnap profile settings from one Mac to another one (or back them up), yet, the ScanSnap Manager has no built-in functionality to do so.
Not too surprisingly, profile information is stored in a preference file, but the trick is to know which one. The answer can be found here:
http://www.documentsnap.com/how-to-backup-your-scansnap-profile-settings-on-the-mac/
The file you are looking for is:
jp.co.pfu.ScanSnap.V10L10.plist
Simply copy it to the other Mac and you are all set.