[1] The genus was circumscribed by Martin Grube and Josef Hafellner in 1990, with Zwackhiomyces coepulonus assigned as the type species.

The establishment of this new genus was based on several distinguishing morphological characteristics, particularly the structure of the peridium, asci, and spores, which set it apart from Didymella and related genera.

While morphologically similar to some other lichenicolous genera like Arthopyrenia, Stigmidium, and Cercidospora, Zwackhiomyces exhibits unique combinations of characters in its ascomatal structure and development.

[2] Zwackhiomyces is a genus of fungi that grows parasitically or parasymbiotically (living in close association, sometimes harmfully) on lichens, particularly those containing green algae as their photosynthetic partner.

The fungus forms small, dark reproductive structures called pseudothecia, which range from 75 to 250 micrometres (μm) in diameter.

[2] Inside the fruiting bodies, the fungus produces spore-bearing sacs called asci, which are cylindrical in shape and relatively rigid in structure.