Direct answer: Battery backup is optional, not built in. Eagle lists the Power I backup for the Eagle 1000 series and says it can provide roughly 40–80 cycles on battery power.
What changes the real number
Eagle specifically notes that battery-only cycle counts vary with gate length and weight. Cold weather, gate condition, and accessory load can also reduce practical margin.
Separate from battery backup, the FR foot pedal mechanically disengages the operator so the gate can be pushed during an outage.