Preheat your oven to 400°F (200°C) and line a large rimmed baking sheet with parchment paper.
Rinse the chickpeas and edamame thoroughly in a colander, then spread them onto a clean kitchen towel and pat them completely dry to ensure they get maximum crunch in the oven.
In a medium mixing bowl, combine the dried chickpeas and edamame with the olive oil, garlic powder, onion powder, sea salt, black pepper, and smoked paprika, tossing until every piece is evenly coated.
Spread the seasoned mixture in a single layer on the prepared baking sheet, making sure the legumes are not overcrowded so they roast rather than steam.
Roast for 25 to 30 minutes, removing the pan to shake it halfway through, until the chickpeas are golden and the edamame is firm and slightly browned.
Remove the tray from the oven and immediately sprinkle the nutritional yeast and hemp hearts over the hot mixture, tossing gently so the coating adheres to the roasted legumes before serving.