Ajancingenia was first described and named by Rinchen Barsbold in 1981 and the type species is Ingenia yanshini.
The name "Ingenia" derives from the Ingen Khoboor Depression of Bayankhongor Province, Mongolia, from whence it was collected, while the specific name yanshini was chosen in honour of academician Aleksandr Leonidovich Yanshin (1911–1999), who was adviser and mentor to Rinchen Barsbold during his time at the Paleontological Institute in St. Petersburg, Russia.