Place the cashews, nutritional yeast, and 2 cups of the vegetable broth in a blender. Blend until smooth.
Melt the dairy-free butter to medium-high heat in a stockpot and add the diced onion. Sauté until soft and translucent.
Add the flour and stir and cook over medium heat for about a minute.
Pour in about half of the broth, whisking as you go. Add in remaining broth, as well as the dairy-free milk, slowly whisking as you pour.
Cook for about 2-3 minutes, whisking often to get out all the lumps,
Add in paprika, garlic powder, dry mustard, salt. and pepper.
Add in the broccoli florets and grated carrots. Cook over medium heat about 10 minutes until the broccoli is fork tender. Stir occasionally.
Add the blended 'cashew cheese' and heat through.