Cut beef steak lengthwise in half, then crosswise into 1/8 to 1/4-inch thick strips.
Combine 1/4 cup stir-fry sauce and beef in medium bowl. Cover and marinate in refrigerator 30 minutes to 2 hours.
Heat large nonstick skillet over medium-high heat until hot.
Add 1/2 of beef; stir-fry 1 to 3 minutes or until outside surface of beef is no longer pink. (Do not overcook.)
Remove from skillet. Repeat with remaining beef.
Fill large bowl with warm water. Dip 1 rice paper wrapper into water for a few seconds or just until moistened. Rice paper will still be firm but will continue to soften during assembly.
Place on work surface.
Spoon 1/4 cup beef, 2 tablespoons carrots and 2 tablespoons cilantro evenly in a row across center of wrapper, leaving 1-inch border on right and left sides; drizzle with about 1 teaspoon reserved stir-fry sauce. Fold right and left sides of wrapper over filling. Fold bottom edge up over filling and roll up tightly. Repeat with remaining wrappers and filling ingredients.