AA 5971 then AA 2956 at Charlotte
Baton Rouge → Charlotte → Fort Lauderdale
Timetable, Charlotte time
21:29AA 5971 from Baton Rouge at the gate
20:57AA 2956 to Fort Lauderdale leaves the gate
23 h 28 apart on the timetable, overnight
AA 2956 leaves 23 h 28 after AA 5971 arrives on the timetable: more than half a day, so not a connection we count.