If the IRS or state said you owe then that is with them. It isn't for the current year. Turbo Tax doesn't know if the IRS or state will adjust your refund.
So the IRS said you owe a prior year state tax? Then you have to ask the state why you owed it and what year. Maybe you were suppose to send a check for a state tax due? Or they couldn't debit your bank account.
