Once your state return says the return has been accepted, TurboTax is no longer updated about the status of the return.  All inquiries will be made to New Mexico Department of Revenue.

To verify that your state return was indeed accepted, make sure you received the e-mail or check your TurboTax account as follows:

To check your e-file status, sign in to TurboTax, and go to Tax Home (if you're not already there). If you've submitted your return, you'll see a pending, rejected, or accepted status. If you haven't submitted your return yet, you'll see Let's keep working on your taxes! and sections like Personal Info and Income & Expenses.

Your e-file status is different from your refund status.