STAR TREK and STAR WARS are in different universes, told as completely different kinds of stories. Their only basic similarities were that both used spacecraft, astronauts and advanced weapons in their stories. STAR WARS is a Knights of the Round Table story set "a long time ago in a galaxy far, far away". STAR TREK is a noble vision of the future, Earth-humanity maturing and reaching out into space, "to boldly go where no man has gone before". Some superficial similarities, but very different stories.
That having been said, STAR WARS only uses a vague illusion of advanced weapons. We don't really know what light sabers and turbo-lasers are about and it isn't necessary we care because STAR WARS is more fantasy than science fiction. It's about characters immersed in mysticism arising from "the Force". STAR TREK is about characters on a mission of peaceful exploration, humanitarianism and diplomacy first, science and technology second, and defense as a last resort. There is no mystical "Force" in the United Federation of Planets. If there is conflict brewing, it is settled professionally by diplomacy, the scientific method and force as a last resort.
We can assume turbo-lasers have something to do with laser technology as we understand it today, but we don't really know. According to canon-based inferences sprinkled throughout the STAR TREK TV shows and movies as assembled on Memory Alpha,
Phasers are supposedly particle-beam weapons.
Photon Torpedoes are supposedly matter-antimatter fusion missiles.
How one franchise's weapons would work against the characters or spaceships in the other franchise is a little like asking "Who would win: Michael Knight driving K.I.T.T. or Batman driving the Batmobile?" It can only be answered with the question: "Win at what?"