The Homeland Security provides the transportation and private charities coordinate with private charities at the other end to make sure the transfer is smooth. Usually these aslyum seekers are traveling to meet family who will take care of them.
Texas takes people to where they don't want to go and dumps them on the side of the road. Not even a heads up call to destination government or charities. It's possible this strategy is backfiring.
Much of this could be eliminated by properly funding asylum courts. I'm talking to you House Republicans.