Also remember... Exodites have access to the same basic technology as CWE, DE, Corsairs etc. In the fluff it was they who ORIGINALLY developed the Wraithknight. Its just they use a lot of beasts in addition to normal Eldar tech, sort of like Dark Eldar beastpacks but on a more massive scale.
I'm sure they aren't rocking Vampire bombers and Phantom Titans... but I'd expect that they use things like Venoms, Vypers or Starweaver type vehicles etc. I think they would use creatures like Cold Ones in place of Jetbikes on terrain dense worlds, and things like Stegadons etc. perhaps as Wraithlord, Talos, Chronos level beasts of war.
Basically they dont use beasts to replace all their warmachines, they just have a more basic arsenal with beasts used to plug the gaps, or when bettered suited for various environmental reasons (like Cold Ones better suited for traversing terrains dense worlds).