Preheat oven to 400°F and line a baking sheet with parchment paper.
Toss broccoli florets with a splash of water or a light oil spray and spread them on the baking sheet.
Roast the broccoli for 15-20 minutes until the edges are charred and the stems are tender.
In a large bowl, combine the cooked lentils and drained chickpeas, then mash them with a fork until mostly smooth but with some texture remaining.
Fold in the nutritional yeast, finely diced red onion, minced garlic, cumin, salt, and pepper until a thick dough forms.
Shape the mixture into four equal-sized patties, pressing firmly so they hold their shape.
Heat a non-stick skillet over medium heat and cook the patties for about 5 minutes per side until a deep golden crust forms.
Plate the crispy patties alongside the roasted broccoli and finish with a squeeze of fresh lemon juice.