AA 5964 then AA 6100 at Charlotte
Augusta → Charlotte → Moline
Timetable, Charlotte time
15:10AA 5964 from Augusta at the gate
14:23AA 6100 to Moline leaves the gate
23 h 13 apart on the timetable, overnight
AA 6100 leaves 23 h 13 after AA 5964 arrives on the timetable: more than half a day, so not a connection we count.