Melt 2 tablespoons of butter in a large pot over medium heat. Add 1 diced onion, 2 chopped carrots, and 2 stalks of diced celery. Sauté for about 10 minutes until soft and translucent.

Add 3 minced garlic cloves and cook for an additional minute. Sprinkle in 1 teaspoon of smoked paprika and add 2 tablespoons of all-purpose flour. Stir for about 1 minute.

Pour in 4 cups of vegetable broth and add 4 cups of chopped broccoli. Bring to a simmer over medium-low heat and cook for 8-9 minutes.

Lower the heat and stir in 1 cup of milk, 1 cup of cottage cheese, and 1 cup of shredded sharp cheddar cheese. Stir until melted and smooth.

Remove 1 cup of the soup and blend until smooth. Return it back to the pot and stir well.

Taste and season with salt and pepper. Allow it to warm through for a couple of minutes before serving.