Heat 1 tablespoon oil in a large skillet over medium. Add shallot and cook until soft, 3 minutes.Advertisement
Pulse shallot, almonds, beans, panko, 1/4 cup roasted peppers, and egg in a food processor until just combined. Season with salt and pepper, fold in feta, and form into four 3 1/2-inch patties.
Wipe skillet clean; heat remaining oil over medium-high. Cook patties, flipping once, 8 minutes.
Mix yogurt and remaining 1/4 cup peppers. Spread on burgers and serve, with sprouts, avocado, lemon, and almonds.
Chilled patties are firmer and effortless to flip. Store them in the fridge for up to eight hours before cooking.