You are asking from TT Online. There is no efile fee for State (or Federal). Rather, the charge is for the use of the software to prepare the return(s), and is the same regardless of how you file.
And you misunderstood the Pay with Refund fee. You cannot pay State taxes due from a Federal refund, but must do so yourself. The extra $40 cost is to have your TT fees deducted from your Federal refund You can avoid that by paying the fees upfront with a debit or credit card.
As far as paying state taxes that are due, each state's protocol is different, and TT will tell you your options.
