They are among the most advanced eutherocephalians and possess several mammal-like features such as a secondary palate and wide postcanine teeth at the back of the jaws[1] (analogous to mammalian molars).

The postcanines of the upper and lower jaw fit tightly together as an adaptation to processing plant material.

Within Therocephalia, bauriids are part of a subgroup called Eutherocephalia, which includes all but the most basal therocephalians.

In his phylogenetic analysis of therocephalians, Huttenlocker (2014) found support for Nothogomphodon being more basal than other bauriids, but also found a clade containing Ordosiodon and Hazhenia (Chinese therocephalians that had previously been grouped together under the family Ordosiidae) to be the sister group of these other bauriids, with Nothogomphodon occupying a more basal position.

The cladogram below is modified from Huttenlocker (2014), showing the position of Bauriidae within Therocephalia and the interrelationships of bauriids supported by his analysis:[3] Lycosuchus vanderrieti Scylacosauridae Scylacosuchus orenburgensis Perplexisaurus foveatus Chthonosauridae Akidnognathidae Hofmeyriidae Whaitsiidae Ictidosuchops rubidgei Ictidosuchidae Regisauridae Karenitidae Lycideopidae Scaloposaurus constrictus Ericiolacertidae Nothogomphodon danilovi Hazhenia concava Ordosiodon youngi Bauria cynops Antecosuchus ochevi Microgomphodon oligocynus Traversodontoides wangwuensis