Sauté the veggies. Heat the oil in a large stockpot over medium-high heat. Add the onion and poblano and sauté for 5 minutes, stirring occasionally, until softened. Add the garlic, ancho chili powder, chili powder, cumin and sauté for 2 minutes, stirring frequently.
Simmer. Add the vegetable broth, beans, hominy, salsa verde, oregano and stir to combine. Continue cooking until the mixture reaches a simmer. Then reduce heat to medium-low (or whatever temperature is needed to maintain a low simmer), cover, and simmer for 10 minutes.
Finish. Stir in the lime juice until combined. Taste and season with salt and pepper, or any additional spices that you might like, to taste.
Serve. Serve immediately, garnished with all of your favorite toppings, and enjoy!