Place carrots, onion, garlic, bell pepper and fresh herbs in the container of a food processor and chop just until chopped (do not liquify). (Alternatively, chop very finely by hand.)
Place edamame, walnuts, oats, flax seeds, black pepper, smoked paprika, soy sauce, salt (optional) and lemon juice in the food processor and chop until mixture is finely chopped but not liquified.
Remove from the food processor and chill mixture for about 1 hour prior to handling.
Preheat oven to 375 F.
Form 8 patties by scooping up mixture into a 1/2-cup measuring cup and inverting onto a baking sheet sprayed with nonstick cooking spray. Pat down to about 1/2-inch thickness.
Bake in the oven for about 45 minutes, until golden brown and firm.
Serve as desired with whole grain buns and fillings, or as a patty with a sauce or dip. May chill leftover patties for up to 4 days in an airtight container, or freeze for up to 6 months.