To prepare pancakes, combine first 4 ingredients in a large bowl. Combine egg substitute, cracker meal, and salt in a small bowl. Add egg mixture to carrot mixture; stir to blend.
Heat 1 1/2 teaspoons oil in a nonstick griddle or large nonstick skillet coated with cooking spray over medium-low heat. Using about 1/4 cup batter per pancake, spoon 4 pancakes onto hot pan, spreading each to a 4-inch diameter. Cook 4 minutes on each side or until bottoms are lightly browned and cooked through. Transfer to a plate; keep warm. Heat remaining 1 1/2 teaspoons oil in pan; repeat procedure with remaining batter. Transfer to a plate; keep warm. Garnish with green onion strips, if desired.
To prepare dipping sauce, combine soy sauce and remaining ingredients in a small bowl, and stir with a whisk. Serve with pancakes.