We are making fresh pasta. If this feels like too much work, you can use a ready-made version and use the lobster as a sauce instead of a filling. However, I recommend taking on the challenge.
To make the pasta dough, mix all ingredients in a stand mixer and knead for ten minutes until a smooth dough forms. You can also knead it by hand, but this will take a bit longer. Let the dough rest for thirty minutes.
While the dough is resting, prepare the filling by cutting the lobster tail into small cubes and mixing it with salt, pepper, and cream cheese.
Roll out the dough slightly, dust it with flour, and feed it through a pasta machine. Start at the widest setting and gradually reduce it to setting six or seven to achieve the right thickness for ravioli.
Use a round cutter to cut out pasta circles. Place a small amount of filling in the center of each circle. Cover with another sheet of dough, pressing out any air pockets. Use a slightly smaller cutter to trim the ravioli again for a perfect round shape. Cook them just before serving.