Waiting is frustrating—refunds are taking longer in many cases. These are not normal times. It is not possible for TurboTax to speed up the IRS for you. They are short staffed; and they are processing millions of tax returns at the same time that they have been burdened with the task of processing millions of stimulus checks.
IRS phone lines supported by customer service representatives for both taxpayers and tax professionals are not staffed at this time. To check on regular tax refund status via automated phone, call 800-829-1954. (This line has no information on Economic Impact Payments.)
https://turbotax.intuit.com/tax-tools/efile-status-lookup/
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. Many refunds are taking longer during the pandemic.
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 20 of your 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://www.irs.gov/refunds/tax-season-refund-frequently-asked-questions
https://ttlc.intuit.com/questions/2840013-does-accepted-mean-my-refund-is-approved
Unfortunately TurboTax gets no information about the status of your refund.
In normal times, the IRS says that most filers get their refunds within 21 days from the time their tax return is accepted.
Many returns are taking longer now since the IRS did not process returns for a while and there is now a big backlog of unprocessed returns.
Some press reports stated the IRS has started reopening offices and processing centers and are starting to process mailed returns again after not processing any for several weeks but no IRS press release has confirmed this.
They are now taking phone calls with a limited staff but it's hard to get through.
If you efiled your return, have you confirmed that the return was submitted by TurboTax and accepted by the IRS?
https://shop.turbotax.intuit.com/efile/efile_status_lookup.jsp
If accepted, what does the IRS tracking web site say about the status of your refund?
https://www.irs.gov/refunds
Here is an IRS Q&A with information about refunds:
https://www.irs.gov/refunds/tax-season-refund-frequently-asked-questions
Since it has been so long, you might try requesting help from the Taxpayer Advocate Service: https://www.irs.gov/taxpayer-advocate