I received a letter saying both my federal and state taxes were accepted but when I try to check the irs site for status updates it says my information cannot be found

How long ago was your e-file accepted? 

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

Federal and state refunds come from completely separate entities,  There is no rule as to which one will come first or how much time there will be between their arrivals.

STATE RETURN

Make sure your state return was accepted:  https://turbotax.intuit.com/tax-tools/efile-status-lookup/

To track your state refund:    

https://ttlc.intuit.com/questions/1899433-how-do-i-track-my-state-refund