In the bowl of an electric mixer, add the softened vegan margarine, both sugars, the applesauce and molasses.
Combine the remaining dry ingredients in a separate bowl with a whisk.
Beat the dry ingredients into the butter/sugar mixture until combined.
Fold in the raisins by hand.
Using a cookie scoop, make mounds on a parchment or silpat lined baking sheet and using the bottom of a drinking glass, press lightly to flatten.
Bake the cookies until set on top (they will still be soft) and the bottom and edges are golden brown.
Allow to cool on the baking sheet until set enough to transfer to a cooking rack. They will set up as they cool and you don't want to over bake or they won't be chewy.
Baking time will vary based on the size you make the cookies. Mine took nearly 20 minutes, but all oven temperatures vary so keep an eye on them.