Peel and chop the carrots. Slice the red onions. Slice the cherry tomatoes in half. Chop the mushrooms. Peel the garlic cloves and cut them into quarters.
Place the vegetables in a bowl and mix with 2 tablespoons of olive oil, the kosher salt and fresh ground pepper. Line a baking sheet with parchment paper, then top with the vegetables. Place the tray in the oven and roast for 25 to 35 minutes, stirring occasionally, until the carrots are tender.
Place 2 cups farro in a pot with 6 cups of water. Season with kosher salt and bring to a low boil. Cook for about 15 minutes, until tender. (If you have an Instant Pot, go to Instant Pot Farro and use 2 cups farro and 3 cups water.)
Chop the cheese into cubes. Finely chop the parsley (using the same method as how to chop cilantro video instructions).
When the vegetables are done, combine the farro, vegetables, cheese and parsley, then stir in the balsamic vinegar and another 2 tablespoons olive oil. Adjust seasonings to taste, adding additional vinegar, kosher salt or fresh ground pepper if desired. Serve warm.