Preheat oven to 325 degrees.
For cake, sift together dry ingredients in a mixing bowl.
Add oil, coffee and milk mix at medium speed for 2 minutes.
Add eggs and vanilla, beat 2 more minutes.
Batter will be thin.
Pour into 2 greased and floured 9 inch cake pans.
Bake 25 - 30 minutes.
Cool cakes 15 minutes before removing from pans.
Cool on wire racks.

Icing:
Combine the milk and flour in a saucepan, cook until thick.
Cover and refrigerate.
In a mixing bowl beat butter, shortening, sugar, and vanilla until creamy.
Add chilled milk/flour mixture and beat for 10 minutes.
Frost cooled cake.