Synonyms for Cut across:

n.

get, put, make a difference, affect, bring out, take effect, impact, come into play, interact, shape. push, fight your way, squeeze, bulldoze. cut across (noun)
cover, pass over, cross, track, traverse, get across, get over, crosscut, cut through.

v.

cross (verb)
pass over.
traverse (verb)
cover, track.

Other synonyms:

bulldoze. squeeze. push.