Engineer's rhymes with:
buccaneers, buccaneers, beer's, beres, biers, buccaneers, comandeers, fiers, frears, hears, hiers, jeers, lear's, meares, musketeers, overhears, puppeteers, rabbitears, seers, seres, shear's, shears, siers, stears, tiers, veres, weir's, wiers
Engineer's sounds like:
engineers, engineers', ensnares