AA 5967 then AA 5853 at Charlotte
Baton Rouge → Charlotte → Lynchburg
Timetable, Charlotte time
16:23AA 5967 from Baton Rouge at the gate
15:35AA 5853 to Lynchburg leaves the gate
23 h 12 apart on the timetable, overnight
AA 5853 leaves 23 h 12 after AA 5967 arrives on the timetable: more than half a day, so not a connection we count.