If you elected to have your Turbotax fees deducted from your refund, then your refund was sent to SBTPG, which opened a bank account in your name. Turbotax gave the account number of the new account to the IRS, not your original account. SBTPG is supposed to receive the money in your temporary account, subtract the fees, and send the rest to your original account.
I'm puzzled that you can't find a record of your tax return on Turbotax, you may be looking under the wrong account name. Did you file with the online program or the program installed on your own computer? We can help you troubleshoot this problem separately if you want.
As far as your refund, if the IRS "where's my refund" web site says your refund was paid to "your bank" but you used refund transfer, then "your bank" means SBTPG. Your next step is to call SBTPG. In some cases, they need to verify the taxpayer's information before forwarding the money. If they can't do this, sometimes they return the deposit to the IRS and the IRS is supposed to mail a paper check to the address you used on your tax return (did you use your correct address?)
Your next step is to call SBTPG and find out where your refund balance is.
