Whisk the whole wheat pastry flour, baking powder, baking soda, cocoa powder, salt, and walnuts in a large bowl.
In another bowl, mix the non-dairy milk with the apple cider vinegar and let stand a couple of minutes. Add the flax eggs, vanilla extract and applesauce and whisk to mix.
Pour the wet mixture into the dry, and mix until it just comes together with no visible dry lumps. Don't overmix or try to make the batter very smooth.
Heat a griddle and pour 1/3 cup of the batter in the center. Wait until the edges look dry and a few bubbles appear on top. Flip with a spatula and cook the other side for a minute or until done.