Heat oven to 375 degrees F.
Beat eggs, vanilla in small bowl. Melt shortening, butter in saucepan; cool slightly; add to egg mixture. Add milk, sugar; beat until smooth.
Mix flour, baking powder. Add to egg mixture. Transfer dough to cookie press fitted with star plate. Pipe S shapes on greased baking sheet.
Bake in 375 degree F oven for 5 minutes on bottom rack. Move to top rack; bake 5 to 6 minutes, until firm but not brown. Cool; drizzle cookies with melted red and green disks. Makes about 3-1/2 dozen cookies.