Unknowingly Charged Extra Per State Filing

I paid for Turbo Tax premium to help in doing my federal taxes. I chose to have the money taken out of my refund and paid the $40 fee for it. Later after filing a few weeks later, I realized I was also charged per state causing a bigger chunk to be take out of my refund than I thought. I would not have used TurboTax or paid for the premium if I had seen the charge per state. How can I go about getting refunded for the state payments that I were not listed when I filed for my refund?