If you are trying to pay TurboTax fees: The processing system is limited to one payment method, so you won't be able to use two cards to pay.
If you are trying to pay taxes due: You won't be able to directly use two different cards to make a tax payment through Turbotax, but you can use the IRS site to make two separate payments. You can use the link below to make payments by credit card. Inside TurboTax, you should select “pay by check” during the filing process. It will produce a payment voucher for you, which you can then ignore or use to make a check payment and make the credit/debit card payments online later. Also, the last day to pay is April 18th this year because of weekends and holidays.