Preheat the oven to broil. Add a silicon mat to a baking sheet with sides. It will help make cleanup easier.
Cut the shells with scissors starting at the opposite end of the tail and stopping before cutting through it.
Then stretch each lobster shell apart. They will crack easily, so gently pull them apart to prevent the sides from breaking away.
Remove the vein (if there, it runs down the middle of the tail) by pulling it or cutting it out.
Detach the meat from the shell by pulling it upwards from the lobster shell. Leave the end attached.
Rinse the shell and meat (on the top and the bottom) to wash away small shell pieces and any leftover vein bits. Pat it dry with a paper towel.
Place the lobster tails on the prepared baking sheet, separating them to prevent crowding.
Melt the butter in the microwave. Add the garlic, lemon, half of the parsley, and hot sauce. Divide 2 tablespoons of the butter mixture into a small container. Use it to base the lobster tails with a basting brush. Save the rest of the butter to serve for dipping--reheat if necessary. Be careful not to put the basting brush into the leftover butter saved for eating.
Move an oven rack to the top broiling position. Place the baking sheet on it. Bake the tails for 5 minutes. Check each lobster tail with a food thermometer (in the thickest part of the tail) after 5 minutes of broiling. They are done when the thermometer reads 140-145 degrees F (if not at temperature, cook for a few extra minutes). The tail meat should be opaque and the shell red when fully cooked. Sprinkle them with the other half of the parsley and/or green onions. Add lemon quarters to the serving platter.
Serve immediately. Pour the saved butter mixture into small containers for dipping.