Add beans, and water to the Instant Pot. Pressure cook on high for 40 minutes. Then let the pressure release naturally. Carefully remove the lid. Keep the beans aside.
Add black-eyed peas and water to the Instant Pot and stir to prevent sticking. Pressure cook on high for 15 minutes under high pressure.
Take olive oil, lime juice, salt, grated garlic, roasted cumin powder, black pepper, cayenne pepper powder, sugar, and black pepper powder in a separate bowl, and whisk together very well.
Take bell pepper, tomato, avocado, corn, black-eyed beans, black beans, cilantro, onion, and jalapenos in a bowl. Toss/stir well so that ingredients are well-combined.
Pour dressing and stir/toss very well. Cover it and place it in the refrigerator for 1 hour. Be sure to toss/stir well before serving.