Controversial: This identity is generally not considered to be a part of the LGBT+ community, and may be exclusionary.
Toramoric 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.