On your 2021 federal tax return did you claim an itemized deduction for state income tax? If not, you do not report the refund on your 2022 tax return. You claimed an itemized deduction for state income tax if there is an amount on Schedule A line 5a, and the box on that line is not checked.

If you did claim an itemized deduction for state income tax, when you prepare your 2022 tax return you have to enter the refund amount on the Form 1099-G that Virginia will send you. TurboTax will use information from your 2021 federal tax return to calculate how much, if any, of the refund has to be reported as taxable income.

You cannot directly offset the Georgia tax that you paid against the Virginia refund. But if you itemize deductions for 2022, you will be able to claim a deduction for part or all of the Georgia tax that you paid in 2022.

You said you lived in Georgia, but you didn't say where you worked. What state did you work in in 2021? If you worked in Virginia, your employer was correct to withhold Virginia tax, and you filed your state tax returns incorrectly. Any money that you earned for working in Virginia is subject to Virginia tax. Since you live in Georgia, all of your income is subject to Georgia tax, no matter where the income is from. You have to file a Virginia nonresident tax return and a Georgia resident tax return. On your Georgia resident tax return you get a credit for part or all of the tax that you pay to Virginia. You end up paying most of your tax to Virginia, and only a small amount to Georgia.

Sorry I forgot to mention that I lived in GA and worked from GA (remote work)  the whole year. My employer was in VA so withheld VA taxes.

I filed my 2021 taxes using Turbotax and paid the Federal and GA taxes on all my income and got full refund from VA.

I tried to search the tax return document which Turbotax software generates, but I can't find Schedule A.

I did find (12a) standard deduction or itemized deduction, which is filled with standard deduction amount of $12550 (I am single)

So even though I paid federal and GA tax on my complete income in 2021, I still have to show VA refund in my 2022 tax return?

Why do I have pay tax on VA refund even though my state(s) refund was actually in negative? 

Thanks for answering my questions.