This name is a synonym of Costularia arundinacea (Sol. ex Vahl) Kük..
The record derives from WCSP
(data supplied on 2012-03-23)
which reports it as a synonym (record 232336) with original publication details: Voy. Monde Phan.: 169 1833.
This name was in version 1 of The Plant List, record kew-232336, and has not been changed.