This name is a synonym of Desmodium glutinosum f. unifoliolatum (B.G. Schub.) B.G. Schub..
The record derives from Tropicos
(data supplied on 2012-04-18)
which reports it as a synonym (record 100321759) with original publication details: Rhodora 52: 138 1950.
This name record (from Tropicos) was not included in version 1 of The Plant List. It is possible the same name was included from a different data source, to check this you can search for Desmodium glutinosum in version 1 of The Plant List.