It depends on how much you made. Nonresidents with Oklahoma source gross income of $1,000 or more are required to file an Oklahoma income tax return.
If you are required to file a non-resident tax return in Oklahoma, you can use the tax paid to Oklahoma as a credit on your Louisiana tax return, in order to avoid double-taxation.
You can read more about living in one state and filing a nonresident return in another state here: Multiple States—Figuring What's Owed When You Live and Work in More Than One State