Roast the base: Heat oil on medium heat. Add chana dal, urad dal, peanuts, and onion. Stir continuously for 5-6 minutes until peanuts are light golden and dals smell fragrant. Cool for 1 minute.
For white chutney: Add roasted mixture, green chilies, tamarind, salt, and water to blender. Blend until smooth but slightly coarse.
For green chutney: Sauté cilantro in warm pan for 30 seconds. Add to blender with roasted mixture, green chilies, tamarind, salt, and water. Blend until smooth and vibrant green.
For red chutney: Add tomato and dried chilies to warm pan. Sauté 2-3 minutes. Transfer to blender with tamarind, salt, and water. Blend until smooth.
Make tempering: Heat oil in small pan. Add asafoetida, then mustard seeds. Once popping, add cumin seeds, curry leaves, and dried red chili. Cook for less than 1 minute until fragrant.
Finish: Pour hot tempering over chutney. Let sizzle for 10 seconds. Stir everything together. Cool for a few minutes before serving.