It is easy to recover deleted files from iOS 5. You know that iOS devices can be backed up to iTunes, whenever you deleted or lost files from iOS device, you can go to iTunes to restore the files to your device. Launch iTunes and when your device shows up in the "Device", click it. You can see the backup listed on it. Select your needed ones then scroll down to "Restore from Backup".
However, if you don't have backup files, you can also recover your iOS 5 files after deleted. Here,as the above recommended data recovery for iPhone, it is able to recover deleted files from iOS devices without any backup. Here, I recommend you one: Tenorshare iPhone Data Recovery. It is easy-to-use and powerful on recovering deleted files from iPhone, iPad and iPod. Have a try if needed.