If you want to itemize deductions on the Georgia state return you must also itemize deductions on your federal return. If TurboTax is recommending the standard deduction and you want to claim your itemized deductions, you can switch to itemized deductions.
Follow the directions in the TurboTax FAQ below if you wish to switch to itemized deductions on your federal return so that you can claim them on your Georgia return.
This is still a flaw in the 2019 tax year software. The flaw resulted in $600 lower tax return for me in 2018; in the process of figuring out the error in 2019 (already filed before finding out about this). Seems like this would qualify people for a refund of the software fee under the maximum return guarantee policy.