In a medium mixing bowl, combine all ingredients for steaks and mix very well.
Place flour into a wide bowl. Separate ground beef mixture into six even balls and shape them into patties. Lightly coat each patty with flour. Place patties on a sheet of parchment paper.
Preheat a large cooking pan, over medium-high heat, and add oil. Place patties into the skillet and sear for about 3 minutes on each side, until browned on the outside.
Take all patties out of the pan and set aside. Leave all the juices from cooking the meat in the pan.
French Onion Sauce:
Add a little more oil to the pan if needed. Lower the heat to medium-low.
Add sliced onions to the pan and sprinkle with sugar. Saute until onions soften, stirring once in a while.
Once onions begin to soften, add in garlic and saute until fragrant.
Stir in tomato paste until onions are evenly coated. Sprinkle flour over the onions and stir well.
Raise heat to medium. Pour in wine while slowly stirring the onions. Simmer for a minute or so and slowly pour in beef stock, while slowly stirring.
Add salt and thyme and let it cook until sauce thickens.
Add beef patties back into the pan. Coat the patties in sauce and let it cook until the just done on the inside.