I live in MS, work in LA, and e-filed in both. Am I supposed to mail a hard copy of my LA return to MS?

I don't believe (and couldn't find) any requirement to mail a copy of a non-resident return you filed as a Mississippi resident.  If it was a requirement to submit, then TurboTax would have submitted as part of the e-file process.

As it turns out it IS a requirement to mail a hard copy. I found it later in the "how to file" section for Mississippi. TurboTax did NOT submit it as a part of the e-file process.

Thanks for sharing.  I file a lot of multi-state returns (none Mississippi) and it's the first time I've run across that requirement when e-filing.