Before I e-filled my returns for state it said I was getting back something after I submitted it the amount showed as 0.

Yes.  You can review the copy of the returns you filed in the Documents area of Turbo Tax Online:  How do I get a copy of my Return?

Once you have downloaded or printed the return, find your State return and Review the "Taxable Income", "Total Taxes", and "Payments" rows of the tax return, so make sure those are correct.  

State returns will vary among different states, but you should be able to see how your -0- amount of refund was calculated once you located the above fields.

If you need to amend your return, you can do so within Turbo Tax once your return has been accepted.  (If it is rejected and a change is necessary, you can just make the necessary change and resubmit it.)

If you find an error on your return and need to amend, here is a link to more details;  How to I amend by State Tax Return