Transgenic rhymes with:
anthropogenic, carcinogenic, eugenic, hallucinogenic, orogenic, pathogenic, photogenic, psychogenic, telegenic, anthropogenic, bennick, brennecke, calisthenic, carcinogenic, deneke, denike, eugenic, fenech, hallucinogenic, hellenic, henneke, hennick, jaenicke, krenek, krenik, orogenic, pathogenic, penick, pennick, photogenic, psychogenic, renick, rennick, schizophrenic, splenic, telegenic, vennick
Transgenic sounds like:
tarnishing, transience, transimage, transoceanic, transoms, tranzonic, trouncing, truncheons