Encouraged rhymes with:
acknowledged, advantaged, disadvantaged, disparaged, envisaged, hemorrhaged, leveraged, micromanaged, mismanaged, mortgaged, overleveraged, packaged, pillaged, presaged, ravaged, repackaged, rummaged, salvaged, savaged, underpriviledged, unleveraged, unmanaged
Encouraged sounds like:
encroached, encrust, encrusted, engrossed