If your return was rejected, you would have gotten a rejection email from TurboTax. However, you can still check to see if your tax return is rejected. To check your e-file status, please visit this link:https://turbotax.intuit.com/tax-tools/efile-status-lookup/
Your tax return will either be pending, rejected, or accepted. Here are the definitions:
Pending simply means that your e-filed return is on its way and that the government hasn't accepted or rejected the tax return.
Rejected means the IRS received your tax return, but return it because there are some errors that need fixing before the IRS can accept and process it.
Accepted means your return was received and the initial inspection (for example, the date of birth matched, social security numbers matched, dependents haven't been claimed, etc) was passed. After the initial inspection, the IRS will then do a deeper inspection for other errors, owed debts, etc. If there are no issues, the IRS will approve the refund and provide you with an estimated refund date. This date will be provided on the IRS "Where's My Refund?"
Please see this related TurboTax FAQ, How do I fix a rejected return?