This name is a synonym of Deschampsia patula (Phil.) Skottsb..
The record derives from Tropicos
(data supplied on 2012-04-18)
which reports it as a synonym (record 25553031) with original publication details: Fl. Chil. 6: 342, t. 79, f. 1 1854.
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 Monandraira glauca in version 1 of The Plant List.