Preheat oven to 450 degrees.
In a medium bowl, combine 2 sticks of the softened butter, chopped parsley, chopped thyme, chopped rosemary, chopped sage. Mix until the herbs are evenly spread out and it's well combined.
Take your defrosted turkey (with neck and giblets removed) and pat dry. Place it in a large roasting pan. Lift the turkey skin off the meat and rub about 3/4 of the herbed butter mixture under the skin and on top of the skin.
Rub the inside of the cavity with the salt and pepper. Now stuff it with the onion, lemon, garlic and the rosemary and thyme sprigs.
In a saucepan, melt the remaining herbed butter and the third stick of butter. Take your cheese cloth and run it under a faucet to get it wet. Then wring out completely. Now take the cloth and submerge it in the melted butter, soaking up as much as you can. Lay that cheesecloth on top of the turkey. Pour any remaining melted butter on top of that.
Pour the 2 containers of broth into the bottom of your pan and place in the oven. Roast at 450 degrees for 40 minutes. Then decrease temperature to 350 degrees and roast for a remaining 4 hours or until a meat thermometer reads 165 degrees. It's generally 15 minutes per pound.
Remember to baste your turkey throughout the cooking process. I baste mine every 30 minutes because I'm in the kitchen anyways and it keeps the turkey incredibly moist. You can do every hour if you like. Rotate the pan once throughout the bake time.