Your situation is different than having a current year tax due deducted from the other refund. Turbo Tax can't do that. Turbo Tax doesn't get involved with paying a tax due. They only send your bank info so the IRS or state can take it out of your bank account.
It sounds like the state put a lien on any federal refunds you get to pay a past year tax due. Or the other way around. They can always take any past tax due you owe out of future refunds. But you can't have a federal or state tax due automatically paid from the other Refund. See, Can I pay my state taxes from my federal refund?
