Lukotekia menae was named by Drohojowska and Szwedo (2013). Its type specimen is MNHN PA 2394, an exoskeleton, and it is an inclusion in amber. Its type locality is Oise amber, Le Quesnoy, which is in a Ypresian terrestrial amber in the Argiles d'lignite du Soissonnais Formation of France. It is the type species of Lukotekia.