Put 1/2 cup of minced onion and 2 Tbs of minced garlic into a large pot. Top with 1 Tbs of olive oil and mix the onion and garlic around so it all gets coated in the oil. Set the stove top to medium heat and let the onion and garlic cook for 4 minutes.
Add the ground buffalo, turkey and beef to the pan. Top the meat with 1 tsp of salt, 1/2 tsp of pepper, 1 tsp of oregano and 2 tsp of basil. Using a rubber spatula, cut the meat into small pieces and mix.
Cook the meat for 10-12 minutes, or until there is no more pink color left.
Add 4 Tbs of the tomato paste to the meat and mix. Let the meat cook for 2 more minutes.
Add the strained tomatoes, 1 cup of water, 1 cup of chopped tomatoes and 1 tsp of italian spices to the pot. Reduce the heat to low-medium and let the sauce simmer for 5 minutes.
Then add the minced broccoli, 2 tbs of honey, 1/2 tsp of pepper, and 1/2 tsp of salt to the pot, mix and let the whole thing cook for 15- 25 minutes, until you have the desired consistency.