Heat the olive oil in a frying pan over low heat, and cook the onion and garlic for about 5 minutes, until tender.
Mix in the carrots, squash and zucchini. Continue to stir and cook for 2 minutes. Remove pan from heat, and mix in oats, cheese and egg. Stir in soy sauce, transfer the mixture to a bowl and refrigerate 1 hour.
Place the flour on a large plate. Form the vegetable mixture into eight round burger shaped patties. Drop each into the flour, lightly coating both sides.
Pan fry burgers in a lightly oiled frying pan over medium heat for 5 minutes on each side, or until heated through and nicely browned.