Exogenous rhymes with:
androgynous, homogenous, indigenous, nitrogenous, oleaginous, polygynous, androgynous, asynchronous, bituminous, brazenness, chitinous, deaconess, gelatinous, givenness, gluttonous, homogenous, indigenous, larcenous, luminous, membranous, monotonous, mountainous, mutinous, nitrogenous, nonpoisonous, oleaginous, ominous, outspokenness, patroness, poisonous, polygynous, ravenous, ruinous, tetanus, titinus, uranus, villainous, voluminous
Exogenous sounds like:
eakins, easing, easygoing, echinacea, echoing, economic, economico, economics, economies, economize, economizes, economos, economy's, egging, eggnog, eggnogs, egomaniac, eischens, eisenach, eking, ekins, equinox, escamez, eschewing, eskenazi, eskimos, essence, eugenia's, eugenic, eugenics, eugenio's, examines, examining, exams, exchange, exchange's, exchanges, exchanges', excusing, exhumes, exigencies, exigency, exim's, exxon's