Many iPhone users lost SMS messages when updating iPhone to iOS 7. To avoid this, Backuptrans iPhone SMS Backup & Restore provide a good solution on how to restore iPhone SMS from iTunes Backup after updating to iOS 7. You just need to run the software on your computer and then import all the messages from old iTunes backup to Backuptrans local database. And then connect your iPhone to the software to restore SMS messages. All SMS messages will be go back to the right place on your iPhone.
Both Windows and Mac are supported. If you are using Mac computer, please download iPhone SMS Backup & Restore for Mac to use.
Video guide on how to Restore SMS from iTunes Backup after updating iPhone iOS 7?
Or you can watch it from Youtube:
Hope this can help.