In a large bowl, cream together the shortening, butter, and sugar until light and fluffy.

Add the eggs one at a time, beating well after each addition.

Beat in the vanilla extract.

In a separate bowl, combine the flour, baking powder, and salt.

Gradually add the dry ingredients to the creamed mixture, mixing until just combined.

Drop by tablespoonfuls 3 inches apart onto greased baking sheets.

Brush the tops of the cookies with milk.

Sprinkle the cookies generously with toasted sesame seeds.

Bake in a preheated oven at 400°F (200°C) for 8-10 minutes, or until golden brown.

Remove the cookies from the oven and transfer them to wire racks to cool completely.