have you checked this
https://www.petairuk.com/taking-pets...dogs-australia
1. Confirm eligibility before starting the process - Dogs must not be under quarantine restrictions or be more than 30 days pregnant or suckling young at the time of export. Some dog breeds, including pit bull terriers, are banned from Australia – check up on this.
2. Make sure your dog is microchipped
3. Check rabies vaccination - Your dog will need to have a valid rabies vaccination (when it was at least 90 days old).
4. Rabies Neutralising Antibody Titre (RNAT) test – This must be done between 180 days and 24 months before the export. Following the rabies vaccination, a vet must scan your dog’s microchip and collect a blood sample for the RNAT test. Your dog must have a valid RNAT test at the time of export.
5. An Official Government Vet must complete the rabies vaccination and RNAT test declaration – Must be done before applying for the import permit. The vets at PetAir UK can do this for you if you choose for us to get your dog’s import permit
6. Apply for an import permit – This should be done after you’ve received the declaration, and at least 42 days before the time of export. You can apply for the import permit on the
http://www.agriculture.gov.au website.