Engines' rhymes with:
alkenes, amphetamines, argentines, arlene's, balanchine's, bernstein's, bylines, caesareans, calgene's, carotenes, eritreans, evergreens, feldstein's, finkelstein's, gabardines, hammerstein's, josephine's, libertines, limousines, listerines, magazine's, magazines, magazines', mangosteens, newsmagazines, nicotine's, opalines, peregrines, philippines, philippines', philistines, protein's, proteins, quarantines, seventeens, soybeans, springsteen's, submarine's, submarines, tangerines, thirteen's, vitarine's
Engines' sounds like:
emissions, encinas, encinias, engaging, engine's, engines, enhancing, enjoining, enjoying, enmeshing, enneking, ensconce, ensing, ensuing, enzymes