AA 2730 then AA 5120 at Charlotte
New York LaGuardia → Charlotte → Baton Rouge
Timetable, Charlotte time
21:33AA 2730 from New York LaGuardia at the gate
21:30AA 5120 to Baton Rouge leaves the gate
23 h 57 apart on the timetable, overnight
AA 5120 leaves 23 h 57 after AA 2730 arrives on the timetable: more than half a day, so not a connection we count.