In a small bowl, whisk together flaxseed meal and water. Set aside.
Preheat the oven to 350°F.
In the bowl of a stand mixer, combine yogurt, butter, brown sugar, and sugar until completely combined.
Add in vanilla extract and flaxseed meal mixture.
Meanwhile, whisk together white whole wheat flour, baking soda, cinnamon, nutmeg, and salt. Add half of the flour mixture to the butter-sugar mixture. Beat for about 20 seconds. Add the remaining flour and beat until combined.
Add oats, raisins, and carrots. Beat on low just until combined.
Drop cookie dough in about 2 tablespoon sized cookies onto an un-greased cookie sheet. The cookies don't really spread, so you can put them about 1 inch apart.
Bake for 10-12 minutes or until lightly golden. Repeat with remaining dough.