Lewis & Short

gĕnĕrātōrĭus, a, um, adj. [generator], of or relating to generation (postclass.): more, Tert. adv. Val. 27.
As subst.: gĕnĕrātōrium, ii, n., a means of generation, Ambros. in. Psa. 118; Serm. 18, 11.