See this TurboTax support FAQ for checking your fees - https://ttlc.intuit.com/community/charges-and-fees/help/how-do-i-review-my-fees-in-turbotax-online/0...
To access your current or prior year tax returns sign onto the TurboTax website with the userID you used to create the account - https://myturbotax.intuit.com/
Scroll down to the bottom of the screen and on the section Your tax returns & documents click on Show. Click on the Year and Click on View order details
That sounds like you used the TurboTax Deluxe online edition for $60 and a state program for $50.
Are you using Deluxe? It is $60 for Federal and 50 for state. Then if you want the fees deducted from your refund there is a Extra $40 Refund Processing Service charge (45 in California).
Are you asking about the 60 & 50? Or did you pay both of them twice? Did Turbo Tax ask you to pay the fees or take them out of your account when they are supposed to come out of your refund?