I don't know if the IRS uses that but they should. 2210 is one of their forms. Maybe you filled it out wrong. Turbo Tax just calculates an estimated amount.
Turbo Tax can not figure it accurately because they don't know exactly when the IRS or state will get your return and tax due payment. It's very common and normal and expected for the IRS or state to bill you for more or send you a refund.
