This name is a synonym of Kyllinga odorata Vahl.
The record derives from WCSP
(data supplied on 2012-03-23)
which reports it as a synonym (record 460980) with original publication details: Atti Reale Accad. Lucchese Sci. 2: 340 1823.
This name record (from WCSP) 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 Kyllinga brasiliensis in version 1 of The Plant List.