Heat the olive oil in a pan on medium high, add the mushrooms and garlic. Saute for a few minutes sprinkle with a bit of salt and pepper. Saute until soft and a bit brown. Remove the mushrooms from the pan and set aside.
Reduce heat to low. Now add the vegan butter and flour. Whisk together and cook for 1-2 minutes to make a roux. It should be a bit thick and paste like.
Now add the veggie broth, whisk to combine. Simmer until it has thickened 2-4 minutes. Now add the mushrooms back to the pan, and the spices. Stir. Taste and adjust seasonings.