Preheat oven to 450 degrees.
Toss the cheeses together in a bowl to combine. Set aside.
Heat 1 tbsp olive or avocado oil in a skillet over medium heat. Saute garlic and onion for 3-4 minutes until fragrant. Stir in chili powder, cumin, oregano, and cilantro for 1 additional minute. Pour in black beans, chiles, and 1/2 cup water. Simmer 10 minutes until most of the water evaporates. Stir in lime juice.
Heat tortillas in the microwave for 30-45 seconds until pliable. Rub each tortilla on both sides with olive oil and set on a flat, clean work surface. Add about 2 tbsp of the cheese mix to the upper third of the tortilla. Spoon 1 tbsp black beans atop. Roll the tortilla tightly from top to bottom and press gently to seal the seam. Transfer to a baking sheet, seam-side down. Repeat with all remaining tortillas and fillings.
Bake 10-12 minutes on one side, then flip and bake an additional 5 minutes.
Meanwhile, make the yogurt. Mix the yogurt, chopped cilantro, lime juice, and salt until thoroughly combined.
Serve taquitos with additional lime juice, yogurt, and salsa, as desired.