AA 5601 then AA 5120 at Charlotte
Nashville → Charlotte → Baton Rouge
Timetable, Charlotte time
21:50AA 5601 from Nashville at the gate
21:30AA 5120 to Baton Rouge leaves the gate
23 h 40 apart on the timetable, overnight
AA 5120 leaves 23 h 40 after AA 5601 arrives on the timetable: more than half a day, so not a connection we count.