Pre-heat oven to 350 F (177 C).
Grate carrots and pat dry.
In a small bowl, mix 2 tablespoons of flax seeds with 6 tablespoons of water. Let sit for at least 5 minutes (This makes flax “egg” goo).
In a large bowl, mix together Greek yogurt, brown sugar, milk, vanilla, and flax “egg” goo.
In a separate bowl, whisk together all of the dry ingredients - flour, cinnamon, ginger nutmeg, salt, baking soda, baking powder. Once well combined, stir in (dry) TVP very well.
Add dry ingredients slowly to wet ingredients and combine.
Add in shredded carrots and chopped walnuts.
Evenly distribute the batter across all 12 (lined) muffin cup things on your muffin tray.
Bake for 15 - 17 minutes. Will come out a little gooey (if you cook too long it will dry out); let sit for about 15 - 30 minutes and they will set up.