Melt the butter in a large nonstick skillet over medium-high heat. Add apple and the next 5 ingredients (apple through salt), and cook 12 minutes or until liquid is almost absorbed. Remove from heat.
Place cottage cheese in a food processor, and process until smooth (about 2 minutes). Add mascarpone, granulated sugar, and vanilla, and process until smooth. Spoon 2 tablespoons cheese mixture into each of 6 parfait glasses, and top each with 2 tablespoons apple mixture. Repeat procedure with 3 tablespoons cheese mixture and 2 tablespoons apple mixture, ending with 3 tablespoons cheese mixture. Cover and chill at least 4 hours.