Once filed, TurboTax receives no information from the IRS whatsoever.
The IRS says that they "try" to pay most refunds withing 21 days of filing, but of course that means that some refunds can take much longer. Once your tax return has been accepted by the IRS (or state) TurboTax receives no feedback whatsoever on the status of your refund. Only the IRS (or state) can give you any information after the tax return has been filed.
If the IRS "reviews" your return for any reason (even a random check), you can expect at least a 60 day delay - or longer.
You can check your TurboTax filing status here:
You can check the IRS Where's My Refund website:
Check your state refund here:
Many people have multiple TT accounts and forget how to access them. Log out of the account you are in now.
Or did you use the desktop version of TurboTax? If so, the files are on your own hard drive or any backup device you used like a flash drive.