AA 5967 then AA 5677 at Charlotte
Baton Rouge → Charlotte → Cincinnati
Timetable, Charlotte time
16:23AA 5967 from Baton Rouge at the gate
16:02AA 5677 to Cincinnati leaves the gate
23 h 39 apart on the timetable, overnight
AA 5677 leaves 23 h 39 after AA 5967 arrives on the timetable: more than half a day, so not a connection we count.