How to Complete Wanted: Floraxion
The objective is to defeat Floraxion. There are also some Malboros, and Floraxion can create more Malboros. You can ignore those enemies if you wish, but they will cause status ailments on your party.
If your units get close to Floraxion, it can use moves on those units that inflict Blind, Sleep, and Confuse. Therefore, you might want to attack with Fire from a distance. The Malboros can cause Blind, Sleep, and Poison. Throw a Knot of Rust at a Confused unit to remove the Confuse status. The White Magick ability Esuna can remove numerous status ailments as well.