Waffle Batter: Whisk yeast and milk in large bowl; let stand 5 min. Mix in flour, eggs, brown sugar, vanilla and salt until sticky dough forms. Do not overmix. Mix in butter just until combined. Cover. Let stand at room temperature 2 hours. (Punch down dough if it rises too much.)
Gently fold in cookie pieces and pearl sugar. Divide dough into 18 (3 oz.) pieces. Let rest 15 min. Cook each piece of dough in heated waffle iron 3 to 4 min. or until desired doneness. Remove from waffle iron and cool.
Toffee Sauce: Bring sugar, cream and butter to boil in small saucepan on medium-high heat. Simmer on low heat 5 min. Remove from heat. Stir in brandy and vanilla; set aside.
For each serving: When ready to serve, insert a popsicle stick into 1 waffle. Place on serving plate and drizzle with 2 Tbsp. Toffee Sauce. Sprinkle with 2 Tbsp. each cookie pieces and white chocolate.