This name is a synonym of Desmodium flexuosum var. cordifoliolatum (P.C. Li) P.H. Huang.
The record derives from Tropicos
(data supplied on 2012-04-18)
which reports it as a synonym (record 50149013) with original publication details: Acta Bot. Yunnan. 11(3): 301–302, pl. 17 1989.
Full publication details for this name can be found in IPNI: http://ipni.org/urn:lsid:ipni.org:names:937685-1.
This name was in version 1 of The Plant List, record tro-50149013, and has not been changed.