Preheat oven to 350° F. Line two cookie sheets with parchment paper.
Cream together coconut oil, brown sugar and granulated sugar until light and fluffy. Add the combined egg replacer and vanilla, then stir in the peanut butter until well mixed.
In a separate bowl, whisk together gfJules Flour, baking soda, salt and baking powder.
Mix dry mixture into wet mixture, in three separate additions, beating well after each addition. Dough will be thick, but if it's crumbly, stir in water or your favorite milk by the tablespoon to get the dough to hold together into a soft dough so that you can squeeze the dough in your hand and it will form a ball.
Make cookies immediately, or if refrigerating, cover dough well and bring to room temperature before rolling out cookies because coconut oil makes the cookie dough more fragile when cold.
Measure one tablespoon of dough and roll into a ball. Roll the ball in the sugar and place on prepared cookie sheet. Repeat, placing the balls about 1 inch apart.
Gently flatten each cookie using a fork, pressing once across the cookie, then again, making a crisscross pattern.
Bake 8 to 10 minutes, or until the tops are lightly browned. Bake for only 8 minutes if you like your cookies chewy; bake for 10 minutes or even up to 12 minutes if you like them crunchy.
Let the cookies stand 5 minutes before removing from cookie sheets to cooling racks.