Years of political corruption is definitely a factor. Ending the corruption and the lobbying, and promoting high tech, high skilled employers to come to this state would keep the kids that go to LSU from graduating then heading to Houston, which is a fairly large percentage.

But the most important factor is education.

1) Poor families that rely on government handouts don't typically encourage education for their children which breeds even more uneducated welfare recipients. Ergo, a very broad statement of the poor doesn't value education is somewhat accurate. There are outliers
2) These same kids, are going to failing schools. Many of these schools can't be closed for political fallout. Some of the educators in these schools are failing teachers. Due to the bureacracy, they can not be fired, and are simply pushed back to "re-education seminars" for failing teachers, where they typically waste a couple weeks playing on their phones rather than find ways to improve their teaching abilities.
3) Today's schools, especially in BR, are lorded over by 1 person, and a school board that makes decisions for all the BR schools. Yes principles have some input on their schooling, but any changes come from the bureacracy of the school board.
4) The trades are not emphasized enough. Not every person is college material. And kids need to know, you can make a damn good living by learning a trade.

These are just some things i see. How do you fix it? Well some of it can be fixed by ending teachers unions, and some education reforms that doesn't need additional funding, but just put the schooling decisions with the school, and embrace more neighborhood/local schools.

The biggest change has to come with the parents of these kids. I don't know how you force parents to care for the betterment of their children. The only way to do it, IMO, is reforming welfare. Stop enabling cradle to grave government dependency. Cap welfare and UE benefits. Hard lessons have to be learned, but no one has the political courage to do this.