AA 5640 then AA 5059 at DFW
Gainesville → Dallas-Fort Worth → Baton Rouge
Timetable, Dallas-Fort Worth time
19:15AA 5640 from Gainesville at the gate
18:35AA 5059 to Baton Rouge leaves the gate
23 h 20 apart on the timetable, overnight
AA 5059 leaves 23 h 20 after AA 5640 arrives on the timetable: more than half a day, so not a connection we count.