Dice the vegetables and slice or press the garlic.
In a large pot, heat the olive oil and sauté everything for about 7 minutes.
Add grated beets and beet greens.
Season with salt, a bit of sugar, and lemon juice.
Pour in water, add bay leaves and allspice berries.
Cook on low heat until the vegetables are tender.
Add chopped beet leaves and stems along with tomatoes.
Cook for another 10 minutes.
Finally, season to taste with salt, pepper, lemon juice or vinegar, and a large amount of chopped dill.