Crosshair's bird is a "Cloudripper" and as Tech describe "native to the ocean moon [... and] it [has] high-flying capabilities"

With no more description than this, I based my design on "birds" from Avatar: The Way of Water's creatures, did a mix and... Voila!

As I couldn't find pictures of Wrecker and Crosshair's birds, I actually created them based on their name and/or description.

Wrecker's is a ruffle bird and as Tech says: "According to many sources, it is, to quote directly, quite adorable"