As an Australian national who got married in Thailand, you can now take your Thai wife back to Australia to live with you. Note that the process does change from time to time however you will need all the needed documentation such as your marriage registration as well as your passport to start the process.
If you are married to a Thai then you can apply for a Thai “O” visa or what is also called a marriage visa. The “O” stands for ‘other’ and it can be used for a number of circumstances. Married to a Thai or having a Thai national as a child. If you have a child in Thailand that you are responsible for then you can also use this visa to stay in Thailand to look after you Thai son or daughter. The visa is however mainly used as a marriage visa.
Once you have registered you marriage in Thailand and are now applying for an Australian spouse visa you will need to ensure that your Thai wife also gets a police clearance certificate which is issued by Bangkok special Branch police in Thailand. It takes a while to receive the certificate so ensure that you apply for the clearance certificate early or speak to an attorney to do this for you.