Louisiana [1] has 18 oil refineries, numerous chemical plants, and various other facilities to process oil and natural gas that are produced both in-state and imported from elsewhere. Compared to Texas, which has more oil refineries, Louisiana has a much smaller population, pushing the per capita number higher.
Wyoming [2] expends over 58% of its energy use in the industrial sector, including energy-intensive activities like open-pit and strip coal mining (such as in Powder River Basin), underground mining (e.g. trona, soda ash). It also has six oil refineries. Further, it's located along one of the busiest transcontinental transportation corridors (Union Pacific's Rawlins and Laramie Subs, I-80), and all that Powder River Basin coal also ships out by rail -- transportation consumes another 20%.
[1] https://www.eia.gov/state/analysis.php?sid=LA [2] https://www.eia.gov/state/analysis.php?sid=WY
[1] https://www.eia.gov/state/?sid=WY#tabs-3 [2] https://www.eia.gov/state/?sid=WY#tabs-1
Any per-capita comparisons which involve industrial measurements on a statewide basis are going to seem weird for Wyoming.