This name is a synonym of Riccardia barbiflora (Stephani) Piippo.
The record derives from Tropicos
(data supplied on 2012-04-18)
which reports it as a synonym (record 35191901) with original publication details: Mém. Soc. Sci. Nat. Cherbourg 29: 209 1894.
This name was in version 1 of The Plant List, record tro-35191901, and has not been changed.