If you backed the Idevice then you can restore the back up either from the computer or Icloud. I always back up to my laptop so I can just fix little issues quickly. If you do restore the Idevice from a back up you will lose the current stuff on your device. I know there is a tool that helps you open blackberry back ups and extract information to view, I don't Know if apple has something similar or where the back ups are located on the computer. Hope this will help you....
I hope that I can lend a hand in terms of getting your texts back. I wanted to clarify that iCloud can back up some text message data, but it is mainly for pictures, videos, music, calendar and contacts.. Take a look here for more information http://support.apple.com/kb/HT4859. I would strongly recommend some kind of back up of your information. Here is a great link for backing up your data http://support.apple.com/kb/HT4137.
Plugging it into iTunes and doing a Backup and saving it to your computer is the most concise and full way to save your information. It will take a snapshot of everything and save. This is a way that you can get the messages back, however, if you have never done this, there is not a way to retrieve deleted messages.
You can see the time, date and phone number for all messages sent on our network online at My Verizon. You can see this for the past 3 months of bills and the current cycle. Simply log on and go to the blue "Usage Deatils" link on the main page (under the "My Usage" Section) for the current cycle. Click on "Online Bill" and then the "Usage Details" tab for previous months usage. This will not have the content of the messages, however, it may give you some critical information.
I hope this information helps some more. Please let us know if anyone needs anything else!
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if you've backed up your phone via iTunes, all of your messages will still be there as of that point. Hopefully you do it often and wont lose many of the new ones..
Besides what mentioned above, i like to share you a article about How to recover deleted text message from iPhone.
Good luck with your process!
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Hey, don’t worry. It is possible to recover your deleted text message, doesn’t waste time on common hard drive data recovery, since it won’t works for iPhone as iPhone use NAND flash drive, not SSD, therefore, it won’t recognize iOS devices.
Even the data was deleted from iPhone, but it is still stored in the NAND flash drive, with iPhone data recovery, uses can easily restore deleted data from iPhone, iPod and iPad: This article will help you: How to retrieve deleted text message from iPhone 4/4s/5.