How to Make It
In a medium saucepan, combine the chickpeas with 4 cups of the water and 2 of the bay leaves and bring to a boil. Reduce the heat to low and simmer until tender, about 50 minutes. Meanwhile, in another saucepan, combine the fava beans with the remaining 2 cups of water and 2 bay leaves and bring to a boil. Reduce the heat to low and simmer until the fava beans are tender, about 30 minutes.
In a medium saucepan, heat 1/4 cup of the vegetable oil. Add the yellow onion and cook over moderate heat until softened, about 5 minutes. Add the jalapeño and garlic and cook, stirring, until fragrant, about 3 minutes longer. Add the cumin and turmeric and cook for 3 minutes. Stir in the beans and milk and season with salt and pepper. Remove from the heat and let cool. Form into eight 1/4-inch-thick patties.
Drain the chickpeas and fava beans and let cool. Discard the bay leaves. In a food processor, combine the beans and pulse them until coarsely ground.
In a large, nonstick skillet, heat the remaining 1 tablespoon of vegetable oil. Add the bean cakes and cook over moderate heat until browned, about 3 minutes per side. Drain on paper towels.
In a medium bowl, whisk the olive oil with the lemon juice and season with salt and pepper. Add the radishes, cucumber, red onion, mint and feta and toss. Serve the bean cakes with the salad and pass the Roasted Pepper-Caper Aioli at the table.