To file online, use the Trademark Electronic Application System (TEAS) or fill out the free application form to get help filing a trademark. Applying for a Texas trademark registration is easy.Just fill out the Trademark or Service Mark Application Form, which can be obtained online. File a trademark application and other documents online through TEAS. Check application status (TSDR). If the wording does not have meaning in a foreign language, applicant should so specify. Testing and training the application of the software will begin as defined in the Vendor proposed installation plan. Proposal Evaluation.