"Gomik" means literally "faggot", the plural is "gomiki".

The suffix "-s" was being used in pre-revolutionary Russia as a way to make your speech sound more polite. Etymologically, "-s" is short for "sir". Nowadays, "-s" is used (very rarely) to imitate speech of somebody from those times, mostly for its humorous effect.

Given the above, "GoMix" sounds very ridiculous in Russian, something like "faggot, sir".