While flipping through the Core Book (2nd ed, Revised & Expanded) the other day, I realized that I did not see any Force power or skill relating to throwing a lightsaber as a ranged attack. I haven't gotten the chance to flip through anything else yet, but I would think it would be in there. I googled the crud out of it, but I did not find any links that clued me into where – or even if – WEG' Star Wars has this.
Seems like Telekinesis is what you're looking for (instead of those droids.) To quote the book (p.151, Core SW d6, 2nd Ed., I'm not sure if it's revised or not, though):
(...) Object may be moved at 10 meters per round (..) The target must be in sight of the Jedi. Increased difficulty if object isn't moving in simple, straight-line movement: (...) +11 to +25 or more for complex maneuvers, such as using a levitated lightsaber to attack. (...) Levitated objects can be used to attack other characters, but this automatically gives the Jedi a Dark Side Point. (...) Such attacks would require an additional control roll by the Jedi, which would be the to hit roll against the target's dodge. (...)
Prerequisite: Light- Tier 3 (Specialty), Dark- Tier 3 (Specialty)
Reaction: NO Focus: YES Kept up: NO
Time to use: 1 Action Dark Side: NO
Alter: Targets’ Evasion, or Parry.
Modifiers: Must have line of sight. Alter by proximity to target(s).
Description: This power allows a character that is using Lightsaber Combat to hurl his lightsaber toward a target, or targets with unerring accuracy, and power. The character may attack one target for every 3D he has in his Sense skill with this power. Each target rolls to evade or parry the attack separately. Upon activating this power the character lets his lightsaber fly out striking the desired target(s) for the lightsaber’s full damage (including bonus damage from Control). Whether the attack hits all, some, or none of the targets, the characters lightsaber returns to his hand at the end of the attack. If one of the targets parries the attack with a lightsaber or melee weapon successfully, the lightsaber returns to the character without hitting any further targets.