AA 5971 then AA 2210 at Charlotte
Baton Rouge → Charlotte → Omaha
Timetable, Charlotte time
20:50AA 5971 from Baton Rouge at the gate
20:15AA 2210 to Omaha leaves the gate
23 h 25 apart on the timetable, overnight
AA 2210 leaves 23 h 25 after AA 5971 arrives on the timetable: more than half a day, so not a connection we count.