It's forever changing.
Latin names are always best used as so many common names are misplaced.
Mahonia trifoliolata is accepted. On the same page:
⥇ A cross-taxon basionym link was ignored while processing this record, see Berberis trifoliolata Moric..
http://www.theplantlist.org/tp...
Berberis trifoliolata Moric. is an unresolved name:
http://www.theplantlist.org/tp...
So the link which shows B. trifoliolata images really means they are showing Mahonia?!
http://w3.biosci.utexas.edu/pr...