Heat oven to 350°F. Grease 13x9-inch pan with shortening. In pan, break up cookie dough; press evenly in bottom to form crust.
Bake 13 to 18 minutes or until golden brown. Immediately sprinkle 1 cup of the vanilla baking chips evenly over crust. Let stand 5 minutes. Spread evenly with back of spoon. Cool completely, about 30 minutes.
Meanwhile, in small bowl, stir 1/2 cup of the raspberries with fork until broken up and slightly mashed; refrigerate. In large bowl, beat frosting, cream cheese and lemon extract with electric mixer on medium-high speed about 2 minutes or until well blended. Fold in whipped topping; refrigerate.
Spread mashed raspberries over cooled crust. Place in freezer 15 minutes. Spread frosting mixture over raspberries. Refrigerate until set, about 1 hour.
To serve, in small bowl, mash remaining 1/2 cup raspberries with fork. Spread raspberries over frosting mixture. In small resealable freezer plastic bag, place remaining 1 cup vanilla baking chips and the oil; seal bag. Microwave on High 1 minute. Squeeze bag to mix; microwave in 10-second increments, squeezing after each, until chips are melted and smooth. Cut small hole in 1 bottom corner of bag; squeeze bag to drizzle mixture over top of dessert. Cut into squares. Cover and refrigerate.