Place mushrooms in small heatproof bowl, cover with boiling water. Stand for 20 minutes; drain. Discard stems, slice capsicums thinly.
Meanwhile, whisk eggs, milk and mint in a medium bowl until combined.
Heat half of the oil in medium frying pan; cook onion, garlic and bamboo shoots, stirring until onion softens. Add carrot and capsicum; cook, stirring, until carrot is just tender. Add mushrooms, sprouts, sauces and coriander; cook, stirring, until heated through. Remove from pan; keep warm.
Heat remaining oil in pan. Add a quarter of the egg mixture; cook over medium heat, tilting pan, until egg mixture is almost set. Place a quarter of the vegetable mixture evenly over half of the omelette.
Fold omelette over to enclose filling, slide onto serving place. Repeat with remaining egg and vegetable mixtures.