Stir vegetable and cream cheese together in a large bowl.
Add flours, oats, baking soda, baking powder, and salt. Work cream cheese into dry ingredients with your hands (my preferred method) or a pastry cutter until mixture is crumbly.
Add milk and cheese, and stir until combined. Use a large disher or 1/3 c. measuring cup to place rounds of dough about 1″ apart on a baking sheet lined with a silicone mat or greased well. Bake in preheated oven for 12 minutes until brown.