Heat the butter in a large pan or Dutch oven. Sauté the carrots with the broccoli florets for 3-4 minutes, seasoning with paprika and a pinch of salt and pepper.
Add the garlic and sauté for 1-2 minutes until fragrant.
Pour in the chicken stock and turmeric and bring to a gentle simmer.
While the soup is simmering, add the cheddar and the cream cheese gradually while stirring vigorously to melt into the soup. Season to taste and divide into serving bowls. Serve hot and enjoy!