Place a steamer basket in the bottom of a large stockpot, then add water to just below the basket.
Place the carrots and beet pieces in the basket, then bring to a boil. Reduce the heat to medium-low, cover, and simmer 10-15 minutes, until the carrots and beet are soft.
Combine all ingredients in a blender and process until smooth.
Transfer the mixture to a small saucepan and bring to a boil, then simmer at medium-low for 20 minutes.