I filed my taxes with Turbo Tax on Apr 14 2020. I got an email that the filings had been accepted both Federal and State. Federal has not sent my refund.

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.
The IRS is currently not processing any mailed returns and is not taking any phone calls.

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

Are you using the correct refund amount on the IRS site?

 

https://turbotax.intuit.com/tax-tools/efile-status-lookup/

https://ttlc.intuit.com/questions/2584108-why-is-there-no-record-of-my-return-at-where-s-my-refund-wmr?jump_to=answer_4242575

Sometimes people get confused by the “summary” given by TurboTax and use the wrong amount for the federal refund.  Make sure you are only using the federal refund amount, and not an amount that combined your federal and state refunds. 

 

Your federal refund amount is on line 20 of your Form 1040

 

https://www.irs.gov/refunds/tax-season-refund-frequently-asked-questions