We do not currently know of any antonyms for binomial nomenclature.
The noun binomial nomenclature is defined as:
The scientific system of naming each species of organism with a Latinized name in two parts; the first is the genus, and is written with an initial capital letter; the second is some specificepithet that distinguishes the species within the genus. By convention, the whole name is typeset in italics. The genus part is often abbreviated to its initial letter e.g. H. sapiens for Homo sapiens