How to connect apps to Google Play?

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http://androidforums.com – I have some identical tablets that I'm trying to get set up for the kids for Christmas. I did this following: On tablet #1, I downloaded all of the apps that I wanted, then used Titanium Backup to make backups of all of those apps. On tablet #2, I used Titanium Backup to "restore" all of those apps. But if I go to Google Play logged in with the account for tablet #2, it doesn't show me as having any of those apps installed. I would like for it to show which ones are installed. Is there a way to do this, or since I didn't download them through google play, is it impossible? (General)