AA 5612 then AA 5634 at Charlotte
Baton Rouge → Charlotte → Louisville
Timetable, Charlotte time
10:17AA 5612 from Baton Rouge at the gate
09:50AA 5634 to Louisville leaves the gate
23 h 33 apart on the timetable, overnight
AA 5634 leaves 23 h 33 after AA 5612 arrives on the timetable: more than half a day, so not a connection we count.