AA 5176 then AA 5967 at Charlotte
New Orleans → Charlotte → Baton Rouge
Timetable, Charlotte time
11:29AA 5176 from New Orleans at the gate
11:20AA 5967 to Baton Rouge leaves the gate
23 h 51 apart on the timetable, overnight
AA 5967 leaves 23 h 51 after AA 5176 arrives on the timetable: more than half a day, so not a connection we count.