First----the date you are given by TurboTax is only an estimated date. It is not a promise since TurboTax has no control over the time it takes the IRS to process your return and issue your refund.
And you are mentioning dates that have not yet occurred. Today is only June 3. You mention June 18.
If you chose to have your TurboTax fees deducted from your federal refund then it goes first to the third party bank (which is the routing number and account you are seeing) and then that bank sends the rest of the refund to you.
What is Refund Processing Service?
Your tax refund was not sent to TurboTax. TurboTax does not handle your refund at all.
Santa Barbara Tax Products Group, LLC (SBTPG) is the bank that handles the Refund Processing Service when you choose to have your TurboTax fees deducted from your refund. This option also has an additional charge from the bank that processes the transaction.
You can contact them SBTPG, toll-free, at 1-877-908-7228 or go to their secure website www.sbtpg.com
https://ttlc.intuit.com/questions/2580357-who-provides-the-refund-processing-service
https://ttlc.intuit.com/community/refunds/help/who-provides-pay-with-my-refund/00/26410
**Disclaimer: Every effort has been made to offer the most correct information possible. The poster disclaims any legal responsibility for the accuracy of the information that is contained in this post.**
