Heat oil in a medium-sized pot over medium-high heat.
Add the onions, peppers, and a pinch of salt to the pot. Sauté them until the onions and peppers begin to soften and turn translucent, which should take about five minutes.
Add the garlic, tomato powder, cumin, and chili powder to the pot. Stir well to combine and cook for an additional 2 minutes until fragrant.
Transfer the cooked onions, peppers, and spices to a food processor or blender. Add beans and vegetable broth.
Blend the mixture until you achieve your desired consistency. If you don't have a blender or food processor, you can use a potato masher to mash the beans and combine them with the other ingredients.
Once you have the desired consistency, stir in the lime juice.
Taste the bean mixture and adjust the seasoning if needed, adding more salt or spices according to your preference.
Serve the Mexican-style bean side dish as a tasty accompaniment to a Mexican-themed breakfast, lunch, or dinner.
Note: You can customize the recipe by adding additional spices or herbs such as paprika, oregano, or cilantro, depending on your taste preferences. This dish can be enjoyed as a side, spread on tortillas, or used as a dip with tortilla chips.
