I positioned and bound things to ornatrix the hair and I would like to export them all including the hair as a single tycache, but currently i can only export that attached geo, the hair does not export with it.
Yes, tyFlow doesn't have an ability to export the hair itself. The general workflow would be to cache/export the hair itself using Ornatrix methods, then cache/export the particles using tyFlow methods...then render them together.
I haven't used Ornatrix in a while...aren't the hairs essentially splines? You could try adding as additional splines in a tyCache spline export?