Living in TX (no state income tax) but working in LA, means that your husband will owe state income tax on his income earned in LA. He would need to file a non-resident return at tax time, and will also likely need to make estimated payments to Louisiana. You would have to check their web site to see how to make payments.
Depending on how the non-resident return works, you may need to file jointly for your federal tax and married filing separately for his LA state income tax, to keep from having your Texas income taxed in LA. But we can deal with that later.
