For the topping, in a bowl mix together grated carrots, sauce, salt, pepper, grated cheese, oregano, 1 tbsp softened butter. You should get a moist, spreadable mixture.
Cut bread slices into desired shape or keep as is. Spread butter on both sides of the 2 slices with remaining 1 tbsp butter. Toast both sides till bit crisp and toasted and brown.
Keep the topping over one side of both toasts, sprinkle remaining grated cheese on top. Put under hot grill till cheese melts slightly or keep in hot pan and toast about ½ to 1 minute till cheese melts.
Garnish & serve hot!
Adjust cheese and sauce proportions as per taste. Use softened butter to make it easier to mix and spread. Cooking cheese melts better than processed cheese.