Start preparing your delicious beef with carrots by cutting the meat into pieces. Then, take the onion, peel it, and finely slice it. Also, peel the carrots and cut them into rounds. Don't forget to peel the garlic cloves.

In a large casserole dish, heat the olive oil over medium heat. When it's hot, add the meat pieces and brown them on all sides to release their flavors. Then, add the onions to the casserole and continue cooking for about 5 minutes, allowing the flavors to harmonize.

To add a fragrant touch to your dish, deglaze the casserole with the white wine, letting it simmer for 2 minutes to evaporate the alcohol. Next, pour the beef broth into the casserole until it reaches the desired level. Also, add the bouquet garni, garlic cloves, and season with a pinch of salt and pepper to intensify the flavors.

Bring it all to a boil, making sure to skim the surface to remove impurities. Then, cover the casserole and let it simmer over low heat for about 2 hours. This will allow the meat to become tender and flavorful.

After this initial cooking time, add the carrot rounds to the casserole. Continue cooking over low heat for another 1 hour. The carrots will absorb flavor and become tender, perfectly complementing the meat.

Don't forget to check and adjust the seasoning according to your preferences before serving this delightful dish hot.