In a large bowl, cream the shortening, butter and sugar until light and fluffy. Add eggs, one at a time, beating well after each addition. Beat in extracts. Combine the flour, lavender, baking powder and salt; gradually add to creamed mixture and mix well.
Drop by rounded teaspoonfuls 2 in. apart onto baking sheets lightly coated with cooking spray.
Bake at 375° for 8-10 minutes or until golden brown. Cool for 2 minutes before removing to wire racks. Store in an airtight container.Note: the cookies can tolerate being frozen for up to a month.