In a large Dutch oven, place the corned beef, bay leaves and brine from the package and cook according to package directions.
About 45 minutes before the meat is done, add carrots, celery heart, onions and potatoes to another Dutch oven, add 2 inches of water, a drizzle of EVOO, some salt and a sprinkle of sugar. Top with cabbage, another drizzle of EVOO, salt and another sprinkle of sugar. Cover the pot, bring to a boil, reduce to low and steam for 45 minutes. Platter the vegetables alongside sliced corned beef.