Ordralfabetix was first studied by Jacek Szwedo of the Muséum with his 2011 type description for the genus and species being published in the journal Zootaxa.

The etymology of the specific epithet sirophatanis is a combination of two proto-Celtic word cores, "siro" which translates to "long" and "phatano" meaning "wing".

The first species Baninus thuringiorum was described by Szwedo and Wappler in 2006 from specimens found in the Messel fossil site.

The distinct shape of the shallowly concave fore-wing with an elongated postclaval margin, called the tornus, and a rounded wing tip.

The narrow costal area of the wing has veinlets running almost the entire length, excluding the base region, and is longer than the clavus.