Counterfeit rhymes with:
misfit, outfit, proudfit, retrofit, armpit, beckwitt, bullshit, cockpit, drillbit, goldschmidt, hammerschmidt, horgavitt, hypocrite, identikit, kleinschmidt, kuhlenschmidt, mandalit, messerschmidt, messerschmitt, misfit, moonlit, outfit, outwit, proudfit, retrofit, sunlit, tanartkit, telit, tidbit, waffenschmidt, waldschmidt, wolfenschmidt
Counterfeit sounds like:
contribute, contributed, contrived, counterbid, counterfeited