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1
Into a bowl sift together the flour, the baking powder, the baking soda, and the salt, add the butter, and blend the mixture until it resembles coarse meal.
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2
Stir in the Cheddar and the chilies, add the sour cream, and stir the mixture until it just forms a soft but not sticky dough.
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3
Knead the dough gently 6 times on a lightly floured surface, roll or pat it out 1/2 inch thick, and with a 3 1/2-inch cookie cutter cut out 6 rounds.
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4
Bake the rounds on an ungreased baking sheet in the middle of a preheated 425F.
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5
oven for 15 to 17 minutes, or until they are golden.
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6
In a kettle cook the onions in the oil over moderately low heat, stirring occasionally, until they are softened, add the garlic and the carrots, and cook the mixture, stirring, for 1 minute.
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7
Add the chuck and cook it over moderate heat, stirring and breaking up any lumps, for 10 minutes, or until it is no longer pink.
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8
Add the chili powder, the cumin, the paprika, the oregano, and the red pepper flakes and cook the mixture, stirring, for 1 minute.
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9
Add the tomato sauce, the broth, and the vinegar, bring the mixture to a boil, and simmer it, covered, stirring occasionally, for 50 minutes to 1 hour, or until the meat is tender.
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10
Add the kidney beans, the bell peppers, and salt and black pepper to taste and simmer the mixture, uncovered, for 15 minutes, or until the bell peppers are tender.
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11
Arrange a biscuit, heated and split, on each of the 6 dinner plates, spoon the chili con carne over the bottom half, and cover it with the top half of the biscuit.