This all depends. Do you sill have the GA residence? That is do you still own or rent a residence in GA? Do you consider yourself a Texan? Do you have a current job in GA or plan to go back to GA? Do you receive mail in GA? Do you have checking or savings accounts with a GA address? Did you earn any money in GA in 2020? Did you change your voting registration to your TX address or vote in TX or vote in GA?
You may have to file a GA income tax return if you earned money in GA during 2020 for the amount you earned in GA. Any amount earned in TX should not be taxed by GA. However, GA tax return may ask about other income earned in other states to reconcile between your total income and the amount reported as earned in GA.
Hope this helps
