AA 1869 then AA 1369 at Miami
Houston → Miami → Managua
Timetable, Miami time
20:35AA 1869 from Houston at the gate
18:28AA 1369 to Managua leaves the gate
21 h 53 apart on the timetable, overnight
AA 1369 leaves 21 h 53 after AA 1869 arrives on the timetable: more than half a day, so not a connection we count.