Attests rhymes with:
retests, test's, tests, tests', arrests, bequests, best's, breasts, chests, crests, digests, divests, fests, guest's, guests, guests', infests, invests, jests, midwest's, molests, natwest's, nests, northwest's, norwest's, pests, quests, reinvests, requests, rests, retests, southwest's, suggests, test's, tests, tests', vests, west's
Attests sounds like:
addicts, adjudge, adjusts, atheistic, atheists, autistic