This name is a synonym of Riccardia bipinnatifida (Colenso) Hewson.
The record derives from Tropicos
(data supplied on 2012-04-18)
which reports it as a synonym (record 35191908) with original publication details: Trans. & Proc. New Zealand Inst. 16: 358 1884.
This name was in version 1 of The Plant List, record tro-35191908, and has not been changed.