Wash and soak ¼ cup toor dal for 20 minutes. Now, in a pressure cooker, add the soaked dal, ¼ tsp turmeric powder, salt to taste, and 1.25 cups of water. Mix well and pressure cook the dal on medium flame for 4-5 whistles.
In a mixture jar, add 2 tbsp fresh coconut pieces, 2 tbsp roasted chana dal, 1 chopped tomato, 1 green chilli, 1 inch ginger, 2-3 garlic cloves, 3 tbsp sambar masala, and some water. Grind it; the masala paste is ready, keep it aside.
In a pan, add 3 tbsp oil, ½ tsp mustard seeds, and ½ tsp cumin seeds. Add 2 medium-sized chopped onions and sauté. Now, add 2 medium-sized chopped tomatoes and salt. Sauté until the tomatoes become soft.
Then add 1 tsp turmeric powder and 1 tbsp Kashmiri red chilli powder. Sauté it. Now, add ½ cup chopped potatoes, 1 chopped brinjal, ½ cup chopped carrot, ½ cup chopped bottle gourd (Dudhi/lauki), and 2 drumstick slices. Sauté it. Cover and cook the vegetables for 2-3 minutes. Switch off the gas.
When the pressure cooker releases its pressure naturally, whisk the cooked dal and make it smooth. Add sautéed vegetables, masala paste, and 1 cup hot water. Mix well and pressure cook the sambar for 1 whistle.
After 1 whistle, open the pressure cooker; the vegetables are properly cooked. Add water to adjust sambar consistency, also add ½ cup tamarind water (3 tbsp tamarind pulp) and 3 tbsp jaggery. Mix well and boil the sambar for 10 minutes.
In a tadka pan, add 2 tbsp oil, ¼ tsp chana dal, ¼ tsp mustard seeds, some curry leaves, ¼ tsp methi dana, and 2 dry red chillies. Sauté it and add tempering on sambar. Garnish with coriander leaves and serve sambar with medu vada.