Combine the spices for the spice blend in a small bowl.
In a large mixing bowl, combine oil and sugar. Using a whisk, beat for 3 minutes until light. Add molasses and soy milk. Beat until well combined.
Sift flour, baking soda, salt and spice blend into the wet ingredients. Mix until a stiff dough forms.
Form the dough into a disc, wrap it in plastic wrap and refrigerate for at least 1 hour or for up to 3 days.
Preheat oven to 350°F. Lightly grease 2 baking sheets or line them with parchment paper.
Take the cookie dough out of the fridge and if it has been in the fridge for more than an hour, then set it aside for 10 minutes.
Then roll the dough on a lightly floured surface into less than ¼" thick rectangle. Using a cutter, cut the shapes out. Using a thin spatula carefully lift the dough and place them on the prepared baking sheets.
Bake for 8 minutes. Let the cookies cool on the baking sheet for 2 minutes. Then transfer them to a wire rack to cool completely.
To make Icing: Add just enough milk to confectioners sugar to make a thick icing.
Place the icing in a ziplock bag. Snip just a little bit off the corner and proceed with icing cooled cookies.