Most state tax agencies have their own "Where is My Refund" tool online at their websites or they have a phone number to call and ask.
As long as your state tax return was accepted, you can use the following FAQ link to help you track the status of your state income tax refund (click your state from the list provided in the FAQ):
https://ttlc.intuit.com/questions/1899433-how-do-i-track-my-state-refund
If you need to track the e-file status of your returns (not just check on your refund), you can use the look-up tool or log into your TurboTax account and check your filing status through your account online.
https://turbotax.intuit.com/tax-tools/efile-status-lookup/