Synonyms: Acanthostega Levinsen 1902, Acanthostegomorpha Levinsen 1902, Costulacea Vigneaux 1949, Cribrilinidacea Pheophanova 1960, Cribrimorpha Lang 1916
Parent taxon: Flustrina according to S. S. Brezina et al. 2021
See also Bassler 1953, Berning 2006, Boardman and Cheetham 1987, Bock and Cook 2001, Di Martino and Taylor 2013, Di Martino and Taylor 2015, Gordon 1984, Gordon 2012, Grischenko and Gordon 2004, Guha and Gopikrishna 2007 and Schmidt 2003
Sister taxa: Calloporoidea, Haigina, Lunulitoidea, Microporoidea, Monoporelloidea, Peedeesellidae, Thalamoporelloidea, Umbonulomorpha, Pseudostega, Farciminariidae, Coilostega, Malacostega, Cellularina
Subtaxa: Cribrilinidae Euthyroididae Lekythoglenidae Polliciporidae
Ecology: stationary epifaunal suspension feeder