Preheat your oven to 400°F and line a baking sheet with parchment paper or a silicone baking mat.
Steam or boil the cauliflower and broccoli until tender (about 5-7 minutes). Drain well and let them cool slightly.
In a large bowl, mash the cauliflower and broccoli until mostly smooth but with a bit of texture remaining. Add the almond flour, egg, cheddar cheese, and salt. Mix until fully combined.
Scoop small portions of the mixture (about 1-2 tablespoons each) and shape them into tot-like cylinders or balls using your hands.
Place the shaped tots on the prepared baking sheet, spacing them slightly apart. Bake for 20-25 minutes, flipping halfway through, until golden brown and crisp.