Here is the information that I received from Burley: Thank you for contacting Burley and for your interest in our products.
Based on my brief online research, it looks like your Catrike uses a 12X142 thru-axle. If the thread pitch (tp) is 1.75 and the measured axle length is 168mm, Burley does not make an axle solution that is compatible with your trike. However, Robert Axle Project does have a product that should be compatible. I have provided a link to this below. We recommend verifying compatibility with their customer service team before making a purchase.
I hope this has been helpful. If you have any further questions, please do not hesitate to contact us.
Robert Axle Project, KID221