1In medium bowl,combine the flour, cocoa powder, baking powder and salt. set aside.
In large bowl, beat butter, sugar, and brown sugar at medium speed until light and fluffy. (about 2 minutes)Beat in the egg and vanilla until well blended. With a mixer on low, gradually beat in 1/3 cup of the flour mixture in the wet ingredients and repeat until flour is used up. Stir in chocolate chunks and cherries. Cover the dough and refrigerate 1 hour.
Preheat oven to 350 degrees.
Roll chilled dough into golf-ball sized balls. Place balls 3 inches apart on a LIGHTLY greased cookie sheet. Gently press with the bottom of a glass to flatten. Bake 13-15 minutes.