Final answer:
The layers between the membrane covering the lungs are the visceral pleura and the parietal pleura. These two layers create the pleural cavity, which contains fluid to reduce friction and protect the lung tissue.
Step-by-step explanation:
The layers of tissue covering the lungs are called the visceral pleura and the parietal pleura. The visceral pleura is the innermost layer that covers the lungs and extends into the lung fissures, while the parietal pleura is the outer layer that connects to the thoracic wall, the mediastinum, and the diaphragm. Between these layers is the pleural cavity, which contains a small amount of fluid that reduces friction and protects the tissue as the lungs contract and relax.