Toramoric, not to be confused with todamoric, is the exclusive, suptilic attraction to binary men. It describes binary men strictly attracted to other binary men. It does not include attraction to masculine aligned non-binary people, unlike toric or viramoric. It can be considered another term for gay/vincian men. It's a non-problematic version of todamoric.
History
The terminology was coined by the Tumblr user Arco-Pluris via Beyond-MOGAI-Pride-Flags. The flag was posted at the same time.
Toramoric vs. Todamoric
Todamoric is problematic, as it excludes transgender, gender nonconforming, and pronoun nonconforming men. This implies that these men are less valid than cisgender, gender conforming, and pronoun conforming men.
Toramoric, on the other hand, simply specifies attraction from binary mean towards binary men. This does not exclude transgender, gender nonconforming, or pronoun nonconforming men.