Place the butter in the Instant Pot and select “Sauté”. Then add the carrot and onion and cook for about 2-3 minutes.
Stir in flour and garlic and cook for about 1 minute, stirring continuously.
Stir in broth and cook for about 1 minute or until smooth, stirring continuously.
Select the “Cancel” and stir in the broccoli.
Secure the lid and cook under “Manual” and “High Pressure” for about 8 minutes.
Select the “Cancel” and carefully do a Quick release.
Remove the lid and immediately, stir in dill weed, paprika, salt and black pepper.
Add cheeses and half-and- half and stir until melted and well combined.