If you didn't update the bank account routing and bank number, the refund is using those same instructions. Most of the time, with bank name changes, the account, and routing numbers do not change. Occasionally they do with mergers, but during transition periods, most banks will accept deposits under both new and old numbers.
Should there be any difficulty with any direct deposit transaction for your refund, a check will be issued and mailed to the address on your tax return instead.
You can double-check the information that is listed on your return by looking at the PDF or printed copy of your Form 1040, Lines 21b, and 21c. You will find your form located in the Documents section of TurboTax in the menu on the left.
If your bank name change/merger happens to be the recent SunTrust or BB&T change to Truist, the account, and routing numbers have not yet been changed.
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