The IRS is only concerned with your federal return, not your state return. Did the IRS offset your 2018 federal refund for a state tax debt you owed? Sometimes the IRS does seize federal refunds for state taxes that are delinquent. Or do you mean you received a letter from your state saying you owe for tax due on a 2014 return? Do they say they changed something on your 2014 return, or that you did not pay what you owed when you filed the return --presumably in 2015 when it was due? Why do you think it was a TurboTax error? Did you check your own credit/bank records when you filed the 2014 state return to make sure they received your payment?
Did you actually prepare a 2014 ID return, but somehow not file it? Or was it rejected and you did not notice? If you still need to prepare the return you will have to get the paper form and complete it by hand, since software for 2014 is no longer available. If you did prepare the return then it needs to be printed, signed and mailed to the state. TT does not mail it--you do.
In order to get to the return if you prepared it, you will need to purchase PLUS when it becomes available on December 4, so that you can access that old file.
Then send it again. Are they saying you did not PAY the tax due? Your only proof of payment would be your own bank/credit card records. TurboTax never knows if, when or how you pay your tax due and cannot provide proof of payment.