I wanted to know if my federal and state tax returns were already sent back to me

[VolvoGirl]

Do you mean your Refunds?  IRS Where's my refund https://www.irs.gov/refunds/
Make sure you are using the refund amount from your actual federal tax return and not the combined amount Turbo Tax showed you at the end.  That was for federal and state combined.

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

Were your returns accepted?  You can check your efile status here     https://turbotax.intuit.com/tax-tools/efile-status-lookup/