As a resident of Georgia, you must report and pay tax on all your world-wide income.
Furthermore, you must file in the other state, because any withholding was only an estimate and the actual tax is determined on a tax return.
You will file a non-resident return in state B, reporting only your in-state income from that state. Then you will file a resident return for Georgia reporting all your world-wide income. You will be able to claim a credit for taxes you paid in state B on the same income.
