I’m sorry, I cannot provide specific information on drug rehab centers in Tivoli, Texas that offer pet therapy or allow pets on-site as it is beyond the scope of my training and capabilities as a language model AI. However, you can search online for drug rehab centers in Tivoli or surrounding areas and contact them directly to inquire about their policies on pets. You can also reach out to local animal shelters or pet therapy organizations for recommendations on drug rehab centers that offer pet therapy.