In a large skillet, heat the butter and olive oil over medium high heat. Once melted, add the onion, bell pepper, and garlic. Cook for 10 minutes, stirring occasionally until the onions are translucent and lightly browned. Add the beans, cumin, oregano, and kosher salt and stir to combine. Cook for 3 minutes until warmed and fragrant, then stir in rice for 1 minute until heated through.
Remove from the heat and add the lime juice. Serve garnished with fresh cilantro.