Combine flour, sugar, baking powder and salt in bowl. Cut in butter with pastry blender until coarse crumbs form. Stir in almonds and cherries. Stir in eggs and vanilla until well blended If mixture is crumbly dry, add milk. Divide mixture in half.
Place logs on prepared baking sheet.
Bake in 350-degree oven for 30 to 35 minutes. With two spatulas, transfer logs to rack to cool for 20 minutes. Return to baking sheet. Bake 15 minutes or until cookies are crisp and firm to touch. Transfer to rack to cool.