Peel and finely dice the shallots. Dice beetroot. Heat olive oil in a large pan and fry shallots until translucent. Sprinkle with sugar and allow to caramelize.
Deglaze with stock and vinegar, bring to the boil and simmer for about 10 minutes. Add beetroot, bring to the boil and simmer for another 2-3 minutes. Season with salt and pepper. Wash chives, shake dry and cut into fine rolls
Prepare the pasta in boiling salted water according to the instructions on the packet. Peel, wash and finely grate horseradish. Mix sour cream and horseradish. Season to taste with salt and pepper.
Pour the pasta into a sieve, drain. Mix noodles, 3/4 of the chives and beetroot, heat up again briefly. Serve sprinkled with a dash of horseradish cream and the remaining chives. Add the rest of the horseradish cream