We don't have any L-system specific programming built into Ornatrix yet, however, you can achieve comparable results with the propagation operator. This video is for 3dsmax but it works similarly in Maya: https://www.youtube.com/watch?v=_OXGjTigcbI&t=5s
Braiding is currently only possible via imported splines. We will have better braiding tools in the future.
Marsel Khadiyev (Software Developer, EPHERE Inc.)