Destroyer Droid Shields and a lightsaber
Doesn't LOE say they can't be penetrated by a lightsaber? In video games lightsabers go through them (they have to otherwise it'd be impossible the beat one) but on some it takes mutiple hits to destroy the shield. We never see a lightsaber go through one in the movies. In The Defense of Kamino ARC trooper Alpha destroys one with a rocket and Shaak Ti is with him but I don't think she actually ever cuts through one's shields.
From starwars.wikicities.com: A few years before the Yuuzhan Vong War, Luke Skywalker and his wife, Mara Jade Skywalker, encountered a droideka onboard the remains of the Outbound Flight Project dreadnaughts. Even though it was decades old and not operating at its best, they still had a difficult time defeating it.
So did they vut through it? If not, how did they destroy it?