Beat shortening at medium speed with an electric mixer until fluffy; gradually add sugar, beating well. Add eggs, 1 at a time, beating well after each addition.
Combine flour, baking powder, and salt; add to shortening mixture alternately with milk, beginning and ending with flour mixture. Beat at low speed until blended after each addition. Stir in extracts. Spoon batter into paper-lined muffin pans, filling them half full.
Bake at 375° for 20 minutes. Remove and cool on wire racks. Spread with Brown Sugar Frosting.