This name is a synonym of Parastrephia quadrangularis (Meyen) Cabrera.
The record derives from TICA
(data supplied on 2012-02-11)
which reports it as a synonym (record EFCA950A-F2FF-41DD-A0E1-9F3BA9CD473A).
This name record (from TICA) 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 Lepidophyllum meyenii in version 1 of The Plant List.