(I know I don't seem to have this trophy yet, but I have unlocked the corresponding achievement on X360. Seeing as there wasn't a guide on TT yet, figured I'd share the TA guide I wrote.)
You can do this trophy easily while going for the Holocron Collector trophy. The first level has easy goals. Yeah, as the other solutions online point out, Empirical is a short level. But you're probably going for the Holocron Collector trophy anyway, and just like Empirical, the TIE Factory has a very easy tertiary goal.
In the TIE Factory, the objectives you'll have to do are getting all fifteen holocrons, 200.000 force points, and destroying a couple of TIE Fighters.
For the holocrons; I've found this: http://faqs.ign.com/articles/910/910695p1.html
- credit goes to Haseo ATC for sharing this one on the TA solution page for that achievement). I can vouch for at least the TIE Factory level, the descriptions were spot-on.
For the force points; if you do this level on the highest difficulty (going for the Apprentice, Sith Warrior, Sith Lord and Sith Master trophies at the same time), don't worry about this one. You'll have at least double the points when you finish the level. Alternatively, if you want to be on the safe side, Stay a while in the first room with enemies - it spawns a lot of stormtroopers. Remember that every time you die, you keep the force points you've gained before dying.
For the TIE Fighters; the first room with enemies is a hangar. There are more than enough TIE Fighters to fullfill the goal, just force grab one and push it into another until the game says you've completed the objective.