Heat a large nonstick skillet over medium-high heat. Add the beef, season to taste with salt and pepper and cook, breaking into small pieces with a wooden spoon, until well browned, about 5 minutes. Transfer the meat to a bowl, leaving behind any drippings; reduce the heat to medium.
To the same skillet, add the mushrooms, season with salt and cook until golden brown, 8 to 10 minutes. Add the cooked mushrooms to the bowl with the beef. Add the oil, onion, carrot, garlic, and paprika to the skillet and continue to cook until the carrots are soft and the onion is lightly browned, about 10 minutes.
Stir in the tomato paste and cook until the tomato paste has toasted and is evenly coating the vegetables, 2 to 3 minutes. Add the broth, water, and the Worcestershire sauce to the skillet. Bring to a simmer and stir in the pasta. Cover and cook according to package directions until the noodles are just al dente. Uncover, stir in the reserved beef and mushrooms until heated through. Remove from heat and stir in the cream cheese, sour cream, chopped parsley, chopped chives, and salt and pepper, to taste, until the cream cheese melts and the sauce is creamy. Divide among 6 bowls. Serve.
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