I have been on the TRA website & you choose 1 of these for carpentry assessment, you don't actually choose TRA.
Carpenter [331212]
The RTOs approved by TRA to conduct skills assessments for this occupation are listed below, with the countries where assessments are available.
Australian Construction Training Services
Website: http://www.visaskills.com
Email: enquiries@visaskills.com
Phone: +61 29609 1100 (Sydney)
+44 20 3375 9333 (UK and Ireland)
+63 9176 193919 (Philippines)
Australia, China (incl Hong Kong and Macau), Ireland, Philippines, South Africa, United Kingdom
VETASSESS
Website: http://www.vetassess.com.au
Email: tradeassess@vetassess.com.au
Phone: +61 3 9655 4801
Australia, Brazil, China (incl Hong Kong and Macau), Fiji, India, Ireland, Papua New Guinea, Philippines, Republic of Korea, South Africa, Sri Lanka, Thailand, United Arab Emirates, United Kingdom, Vietnam, Zimbabwe
Victoria University
Website: http://www.vu.edu.au/skilled-migration
Email: 457skillsassess@vu.edu.au
Phone: +61 3 9919 7365
Australia, Brazil, China (incl Hong Kong and Macau), Fiji, India, Iran, Ireland, Papua New Guinea, Philippines, Republic of Korea, South Africa, United Arab Emirates, United Kingdom, Vietnam, Zimbabwe