Hello and thank you for using Just Answer.
LA does indeed allow a retirement exclusion for retired teachers but only those that have retired from LA schools.
I think you are referring to Public Law 104-95 (P.L. 104-95). This law prevents any state from taxing income from certain pensions and deferred compensation plans paid to individuals who are not residents or domiciliaries of that state. Louisiana already exempts much of the pension income paid to non-residents covered by P.L. 104-95.
The Texas Teacher's Retirement is not a part of the ERiSA rules covering retirement and pension.
In short you are a resident of LA and are subject to the taxing laws of LA. A plan that distributes benefits to participants in another state that requires withholding does not have to go to the trouble of establishing withholding procedures to satisfy a state tax law, but that does not relieve the taxpayer in the resident state of their tax liability for the income.
States are generally free from federal control in deciding how to tax pensions, but some limits apply. State tax policy cannot discriminate against federal civil service pensions. Ten states exclude all federal, state and local pension income from taxation. These include Alabama, Hawaii, Illinois, Kansas, Louisiana, Massachusetts, Michigan, Mississippi, New York and Pennsylvania. Among these 10 states, only Kansas taxes any Social Security income, but only to the extent it is subject to federal taxation. Most in-state government pensions are taxed the same as out-of-state government pensions. However, Arizona, Idaho, Kansas, Louisiana, New York, and Oklahoma provide greater tax relief plans than they do for out-of-state government pension plans.
I know this did not give you the answer you were hoping for but as a resident of LA you are now under their taxing regulations.
I hope this information is useful,