I’m not sure about the whole circumstance of your husband but you need to check out TRA
https://www.tradesrecognitionaustralia.gov.au/faqs/msa-faqs
That’s right, TRA would be the designated assessing authority for Chefs but as explained, they commission other RTO’s to conduct the assessments for them. These RTO’s follow the guidelines set up by TRA as the latter is still the official assessing authority.