I own a Tavor and my father ownes a AUG... So I can give my impressions on both
Balance - AUG
While both rifles weigh around 8 pounds, and both have roughly the same LOP, the AUG seems to balance better in the hand.
Charging Handle - Tavor
The AUG charging handle is a real knuckle buster, I like the fact that you can lock the bolt with the AUG charging handle, but I still like the location of the Tavor charging handle better.
Tigger - AUG
The factory trigger on the AUG is better than the Tavor, however the Tavor does use a all metal tigger pack that can be worked over, and has aftermarket triggers available such as the Super Sabra or Tav-D. So my personal choice still goes to the Tavor, however if I was forced to use a rifle in factory configuration the win would go to the AUG.
Sling Mounts - Tavor
The factory limited rotation QD sling attachment points are pretty self explanatory.
Rail - ???
The Tavor sports a full length rail with a integrated set of BUIS with Tritium front, which is pretty awesome... I find that most American optics need a riser to get the proper cheek weld. My TA31F Acog was almost unusable on the Tavor for me using the standard TA51 mount, and my EoTech 512 was too low to use comfortably. I did however find that my Aimpoint in a lower 1/3 mount sat perfectly... The AUG on the other hand has several rail length options to fit the users needs, which sit at a good height for proper cheek weld. So both have their strong/weak points.
Magazines - Tavor
While some consider AUG mags "superior" to AR15 magazines, with the introduction of PMAGS I find this to no longer be true at all. In fact I think the Tavors ability to use every type of AR15 magazines from from USGI, to Lancer, and Troy Battle Mags to be a huge plus considering how cheap and available they are. If Magpul would bring AUG mags to the US market at <$20ea it would be a great advantage...
Mag Release - Tavor
Some people don't like the trigger style mag release on the Tavor, to me its very natural.
Safety- Tavor
I don't have a problem with cross bolt safeties, but I still prefer a thumb safety
Muzzle Attachments - Tavor
The Tavor uses standard 1/2x28 vs the 13x1-LH on the AUG... Which for me is a no-brainer
Gas System - AUG
The Gas system on the AUG is adjustable, while the Tavor is not so...
Breakdown - Equal
They are both stupid easy with no tools required
Barrel Change - AUG
The barrel on the aug removes in a matter of seconds, which would be awesome with a .300blk barrel
Twist Rate - Tavor
I have always preferred a 1x7 twist over the 1x9 that the AUG has, but thats personal preference
Aftermarket Support - Tavor
From triggers to rail options, the Tavor has a broad selection of aftermarket parts and accessories
Conclusion
While I do not regret getting my Tavor, I do find that the AUG balances much better for me and just feels more natural. But in reality you can't go wrong with either... I eventually will end up buying a AUG A3 M1 NATO with a 1.5x optic to satisfy my own craving for a AUG, so my advice is GET BOTH.