Prepare barely according to package directions—essentially bring 3 c water to a boil, add 1 c barley, return to boil, reduce to simmer and add salt and cover. Allow to simmer for about 30 minutes while you prep the rest of the soup.
Heat olive oil in a in large soup pot. Add the onion and sauté.
Add carrots and sauté a minute longer. Add garlic and cook for another minute.
Add nutritional yeast, salt, and pepper and stir well.
Place bay leaves and thyme in pot and add water, starting with just a little to deglaze the pot, and then adding the rest.
Once boiling, reduce to a simmer and allow the vegetables to cook.
When the carrots are tender, add the beans and barley (and any remaining cooking water) and allow to simmer for 5 more minutes.
Add the greens and stir them in, allowing them to wilt into the soup.
Remove the thyme stems (you can slide your fingers down the stems to remove any remaining thyme leaves right into the pot). Remove bay leaves and serve.