Dice the meat into one bite. Finely chop the onions, carrots, celery and garlic. Dice potatoes. Mushrooms are cut into halves or quarters, depending on size.
In a stewpan over high heat, warm 2 tbsp. vegetable oil. We put the meat and fry until golden brown on all sides, about 5 minutes. We shift to the pan.
Reduce the heat to medium. We put onion, carrots and celery in a stewpan. Stir fry for about 5 minutes. Add the mushrooms. Stir frying for another 5 minutes. We shift to the pot for meat.
Add garlic, barley, salt to taste. Pour the broth, bring to a boil. Cook over moderate heat under a lid until the cereal is ready and the meat is soft, about an hour. Add potatoes 20 minutes before cooking. Sprinkle with chopped dill before serving.