The World Annihilation Front an organistion only featured in the video game. Prior to Kyrie's joining, Morte Asherah was its only member. Eventually, Taupy Toplan, Agan Mardrus, Rhi'a Dragunel and Naja Gref join the Front, but only because they were associated with Morte and Kyrie respectively.
It is run by a nameless leader who gives orders by dropping them from the sky. The leader is revealed much later as Lacertus Rex, who formed the Front to bring Kyrie to him.