Combine 1 cup butter, sugar and brown sugar in bowl. Beat at medium speed, scraping bowl often, until creamy. Add eggs and 2 teaspoons vanilla, beat until well mixed. Add flour, baking sod, cinnamon and salt; beat at low speed, scraping bowl often, until well mixed. Stir in carrots and pecans.
Drop dough by rounded tablespoonfuls onto greased cookie sheet. Bake 11-13 minutes or until lightly browned around edges. Cool completely.
Combine powdered sugar, 1/2 cup butter, cream cheese and 1/2 teaspoon vanilla in bowl; beat at medium speed until smooth and creamy. Reserve 1/2 frosting.
Frost each cooled cookie with 2 teaspoons frosting. Divide reserved frosting in half. Tint one half green and one half orange. Spoon each tinted frosting into resealable plastic food bags; snip off corner of bags. Make carrot design on top of each cookie, if desired.