Synonyms for Kick up:

n.

elevate, ascend, rise, hoist, lift, pick up, soar, heave. complain, moan, take something further, raise the roof, murmur, mutter, lodge, grumble, kvetch, kick up a fuss/stink/argument. kick up (noun)
call forth, evoke, provoke.

Other synonyms:

hoist. heave, ascend. soar, elevate. pick up, lift. rise.