Step 1 Preheat oven to 200°C. Line a baking tray with baking paper. Heat oil in a saucepan over medium heat. Add onion. Cook, stirring, for 2 minutes or until soft. Increase heat to high. Add mince. Cook, stirring often, for 4 minutes or until browned. Remove from heat. Add carrot, zucchini, corn and barbecue sauce. Return to heat. Cook, stirring, for 3 minutes.
Step 2 Carefully split rolls lengthways, leaving 1 side of each roll still joined. Remove soft white bread from centre of base and top.
Step 3 Place 2 tablespoonfuls of mince mixture onto base of each roll. Sprinkle with cheese. Gently press rolls to close. Place onto prepared tray. Bake for 10 minutes or until crisp and heated through. Serve.