Preheat the oven to 425 degrees F. Line a large baking sheet with parchment paper.
Transfer the Anaheim peppers** to the baking sheet. Drizzle the 2 tablespoons of the olive oil over the peppers. Roast for 10 minutes. Using a tongs turn over the Anaheim peppers and roast for an additional 10-15 minutes. Set aside and allow to cool.
Add the remaining tablespoon of olive oil to a large Dutch oven and heat over medium-high heat. Add the onions, garlic, and jalapeno pepper to the pot and cook for 5 minutes. Season to taste with salt and pepper.
Add the cumin, ancho chili powder, and Mexican oregano. Sauté until fragrant, approximately 1 minute.
Add half of the white beans into the large Dutch oven. Place the other half into a blender along with the lime juice, 2 cups of chicken stock, and roasted Anaheim peppers. Blend until well combined.
Transfer the mixture into the Dutch oven, along with the remaining 2 cups of chicken stock. Lower the temperature and allow to simmer for 20 minutes.
Season to taste, if necessary. Stir in the shredded rotisserie chicken and cilantro. Allow to simmer until well heated, approximately 5-10 minutes. Serve hot.