Preheat your oven to 425 °F. Rinse the lobster tails under cool running water for 1-2 minutes.
Using kitchen shears, cut the shell of the lobster tail down the center, stopping at the base of the tail. Use your fingers to separate the lobster meat from the tail, pulling slightly up on the meat.
In a small bowl, combine the 4 tablespoons of butter, lemon juice, garlic powder, parsley, tarragon, and chives. Brush the butter mixture on the lobster meat, ensuring that you've covered all the meat thoroughly. Place on a baking tray and set aside.
Preheat a cast iron skillet over medium high heat. Add olive oil to the pan.
Meanwhile, pat ribeye steak dry and season with as much salt and pepper as you'd like.
Mix together minced garlic, rosemary, and thyme. Cover each steak with the spice mixture, pressing it into the meat.
Add steaks to the pan with 2 tablespoons of butter. Place the baking tray with lobster in the oven on the middle rack. Set a timer for 10 minutes.
Sear the steaks for 2-3 minutes on each side until they develop a golden-brown crust. Spoon the butter over the steaks as they cook to keep them moist. Turn the temperature down to medium low and continue cooking until the meat reaches a medium-rare doneness (about 135 °F).
Remove steak from the pan and let rest for at least 5 minutes.
Check the lobster tail after 10 minutes. The lobster meat should be opaque and feel firm to the touch. If not, put it back in the oven for another minute or two.
Splash a little lemon juice or a drizzle of garlic butter over the lobster just before serving with the steak. Enjoy!