Place raspberries, granulated sugar and lemon juice in blender container; cover. Blend until smooth. Pour into small bowl; cover. Refrigerate until ready to assemble parfaits.
Combine fresh strawberries, confectioners’ sugar and liqueur in medium bowl. Refrigerate 10 minutes.
Spoon about 1/4 cup of the fresh strawberry mixture into each of 6 parfait glasses. Top each with 2 tablespoons of the raspberry puree and a serving of Reddi-wip; sprinkle with 1 tablespoon of the cookie crumbs. Repeat all layers. Spoon remaining fresh strawberry mixture evenly over parfaits; cover each with 1/3 cup ice cream. Top evenly with another serving of Reddi-wip and remaining cookie crumbs.