Same thing here. . . I opted to scroll back to the e-file page and clicked to e-file my state return at a later date. Federal return could then be transmitted and I'll return on 2/2 to e-file state.
GA main form is available now and you should be able to efile unless you have some other forms that are not yet ready.
The state and federal governments approve the most common forms first and work their way down the list. Please see the links for form availability. Once a date shows up, the reality should be close. Once released, Turbo Tax will work quickly to get it working in the program.
It either means the phone number on your account is either invalid or it's not a US phone number. Read more about it here.