Synonyms for Augment:

n.

go up, go through the roof, step up, double. soar, build, wax, snowball, upsurge, mount, build up, rise, aggrandize, run up, escalate, proliferate, beef up. augment (noun)
build up, multiply, amplify, inflate, magnify, expand, add to, swell, heighten, raise, enlarge, boost, extend, grow, reinforce, increase.
increase (noun)
add to, study atincrease.

v.

add (verb)
acquire, attain, total, increment, sum, accumulate, annex, accrue, add, increase, tally, aggregate.
expand (verb)
distend, dilate, swell, stretch, thicken, develop, engorge, spread.
increase (verb)
burgeon, magnify, inflate, amplify, upgrade, elevate, broaden, reinforce, boost, widen, fatten, extend, advance, lengthen, enlarge, expand, grow, heighten, multiply, raise, maximize.
intensify (verb)
beef up.
make greater; improve (verb)
boost, inflate, heighten, aggrandize, reinforce, build, beef up, raise, amplify, swell, expand, enlarge, add to, increase, build up, develop, extend, grow, mount, multiply, magnify.

Other synonyms:

upsurge. snowball, escalate, wax. proliferate, aggrandize, soar. mount. rise. build. add
run up.
extend
lengthen.
increase
boost, add to, snowball.
intensify
heighten.
open up
widen.
strengthen
beef up.
Other relevant words:
build, add to, upsurge, proliferate, double, aggrandize, go up, build up, beef up, wax, escalate, soar, mount, snowball, rise.