Augmenting rhymes with:
complementing, complimenting, experimenting, implementing, tormenting, complementing, complimenting, disorienting, experimenting, implementing, tormenting
Augmenting sounds like:
accenting, accentuating, accommodating, accommodations, accountancy, accounting, acquaintance, acquaintances, ascendance, ascendancy, ascendency, ascending, assassinating, assassinations