Out of state

My husband lives and works remotely in Texas. We have recently been taxed by the state of Louisiana for the years 2020 and 2021, Each year is over $6,000.00 with penalties and interest. We are also worried about all the other years. I have used turbotax for many years and followed the information that we do not have a state tax . We are sick with concern as my husband will be retiring in December. Do we owe Louisiana taxes?