In a large frying pan over high heat, add a tablespoon of olive oil and the sausage. Cook on high heat to brown as you break up the pieces. Make sure you really brown it well!
Remove the sausage from the pan and add the next bit of olive oil. Repeat with the ground beef, breaking it up in the pan and browning it well.
Remove the beef and do the onion, carrot, and celery next with more olive oil. Again, be sure to brown the veggies well.
After they reduce a ton in size and are browning around the edges, add in the garlic. Cook only 2 minutes, then add the remaining olive oil and the tomato paste. Cook about 5 minutes on high, stirring constantly to fully coat the veggies in the tomato paste. The paste should appear to be frying in the oil.
Add the meats back into the pan and add in the broth, parsley, oregano, and sugar. Reduce heat to low and simmer for about 2 hours. Stir it every 15 minutes or so, It will reduce to a thick sauce.
Add in the cream. Use a hand blender and pulse the sauce to make sure the meat is all broken down into really small uniform pieces. Make sure to not overblend the sauce.
The sauce will be thick. Depending on how thick, you could add a splash of cream, water, or broth to thin it a little. You want it to be fairly thick for the french fries, but if you are using it on pasta you could thin it a bit.