If you need to retrieve the text messages you deleted from your iPhone, perhaps there is a solution. We say perhaps because, as happens on the computer, when a text message is deleted, the iPhone is not actually physically deleted the message, but its position is declared free and available for writing.
It may happen that a new message is written on it as it could not happen in the first case the message is recoverable and readable.
To do this you need to have your computer, Windows or Mac, which is usually made up than iPhone, but if yours does not you should have no problem.
Download Decipher Text Message for Windows or Mac OS X and install it. At the start, read all available backups, and will present a list of contacts as the one you see above, clicking on a contact will show the SMS sent and received, and also MMS.