PREHEAT oven to 325° F.
CUT dough into 20 pieces. Shape each piece into a 2 1/2 x 1-inch oblong shape. Place on ungreased baking sheets.
BAKE for 10 to 12 minutes or until light golden brown around edges. Cool on baking sheets for 1 minute; remove to wire racks to cool completely.
DISSOLVE coffee granules in cold water; set aside.
BEAT cream cheese and sugar in large mixer bowl until smooth. Beat in 1/4 cup coffee. Fold in whipped topping. Layer 6 cookies in ungreased 8-inch-square baking dish. Sprinkle each cookie with 1 teaspoon coffee. Spread one-third cream cheese mixture over cookies. Repeat layers 2 more times with 12 cookies, remaining coffee and remaining cream cheese mixture. Cover; refrigerate for 2 to 3 hours. Crumble remaining cookies over top. Sift cocoa over cookies. Cut into squares.