Preheat oven to 450 degrees. Gently saute garlic and onions in 2 tablespoons butter about 10 minutes until tender, but not brown.
Sift flour, baking powder and salt into mixing bowl. Cut in 1/4 cup butter until mixuture is crumbly like cornmeal. Add parsley, dill and milk; stir just until evenly moist. Pour into well-greased 8x8 inch pan. Spread garlic and onions on top, then cover with cheese.
Bake for 25 to 30 minutes. Cool slightly and cut into squares.