All you can do now is, wait. At least you know that the IRS has your filing. It does not matter who sent your 1040 to the IRS. The IRS is the sole destination for tax returns. No one has discovered a way to make the IRS speed up sending out refunds. No one ever will because the IRS is an overwhelmed, over worked, under funded and under staffed government bureaucracy. Eventually you will get the pay off of your no interest loan to the government.
Have you thought of paying just enough by estimates or withholding to avoid a penalty and let the government wait for your check?
TurboTax gives you an estimated date for receiving your refund based on a 21 day average from your date of acceptance, but it can take longer. “21 days” is not a promise from TurboTax or the IRS.
First, check your e-file status to see if your return was accepted:
https://turbotax.intuit.com/tax-tools/efile-status-lookup/
Once your federal return has been accepted by the IRS, only the IRS has any control. TurboTax does not receive any updates from the IRS. Your ONLY source of information about your refund now is the IRS.
You need your filing status, your Social Security number and the exact amount (line 35a of your 2023 Form 1040) of your federal refund to track your Federal refund:
To track your state refund:
https://ttlc.intuit.com/questions/1899433-how-do-i-track-my-state-refund
https://ttlc.intuit.com/questions/1901548-why-do-some-refunds-take-longer-than-others
If you chose to have your TurboTax fees deducted from your federal refund, that will take some extra time, while the third party bank handles the refund processing.
https://ttlc.intuit.com/questions/2580357-who-provides-the-refund-processing-service
https://www.irs.gov/refunds/tax-season-refund-frequently-asked-questions
https://ttlc.intuit.com/questions/2840013-does-accepted-mean-my-refund-is-approved
If you are getting earned income credit on line 27 or additional child tax credit on line 28 You are subject to the delay required by the PATH act. Do not expect your refund earlier than late February.
https://www.irs.gov/taxtopics/tc152
https://www.irs.gov/individuals/refund-timing