As nouns the difference between rug and cushion
is that
rug is a partial covering for a floor while
cushion is a soft mass of material stuffed into a cloth bag, used for comfort or support; for sitting on, kneeling on, resting one's head on etc.
As verbs the difference between rug and cushion
is that
rug is to pull roughly or hastily; to plunder; to spoil; to tear while
cushion is to furnish with cushions.