Scott has a Samsung Galaxy S6 and he's deleted some text messages on Verizon and then tried to recover them, but they haven't showed up yet. Leo says that Verizon keeps copies of his text messages, so if anyone has them, they do.
Here's a link from the chatroom on getting text messages back. But it looks to Leo that he'll have to pay to get them back, and even then there's no assurance it'll work. Chances are they're gone, as once he's deleted them, the space has been overwritten and reused.
Scott could try Recuva, and if he can mount his phone like a USB drive, he could run it to recover them.