I have the doogee dg580 and my phone put me in system recovery mode. So I factory reset it and then rebooted it but when the the phone loaded it went right back to the system recovery mode.
Welcome to Android Central! I would suspect that the firmware is corrupt. You might try looking into reflashing the stock ROM, but I'm not sure how available that is for a relatively obscure phone like yours. The phone would probably have to be rooted as well.