The federal and state refunds are issued from totally different taxing authorities and do NOT show up at the same time.
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.
First, check your e-file status to see if your return was accepted:
https://turbotax.intuit.com/tax-tools/wheres-my-refund/
You need your filing status, your Social Security number and the exact amount (line 35a of your 2022 Form 1040) of your federal refund to track your Federal refund:
https://www.irs.gov/refunds
To track your state refund:
https://ttlc.intuit.com/questions/1899433-how-do-i-track-my-state-refund
