More comments:

http://reddit.com/r/LifeProTips/comments/24znvt/lpt_you_can_add_2_eggs_and_12_a_cup_of_oil_to/

Sounds like it works:

I have done this. They were a hit at my office Christmas cookie party. 

I used 3 eggs, though, because the batter was too thick with just 2. 

Also, sub coconut oil instead of regular oil for extra flavor.

Sometimes, I bring a bowl of dough and a pan to my friends' dinner parties so they can enjoy the baking aroma.