Dog Resources - Weird Situation

Hi, Posting this here because this is happening in Austin and I don’t know a better place to post it. Our friends found and adopted two stray dogs last week. The dogs looked like they’d been on their own for a while. Skinny enough that you can clearly see their ribs. (Pic) They were taken to the vet and cared for. One of them had worms, poor boy. A couple days later the owner saw a post they made on Facebook and claimed them. Happy story if that’s where it ended. A week later, the dogs showed up again. My friends took them in, fed them, and got them back to the owners. The next day they showed up again. This time the owner said to just ignore them if they come back. This is wild to me. I think these poor pups are being neglected at their home. Looking for local resources to suggest if these dogs come back. Don’t want them to end up in a shelter, but there’s got to be something that can be done. Interested in thoughts and suggestions.