A modified atmosphere packaging system and method creates a modified atmosphere in a package including an inner container and an outer container. The inner container is composed at least partially of a polymeric material substantially permeable to oxygen, while the outer container is composed of a polymeric material substantially impermeable to oxygen. After a food product such as raw meat is placed within the inner container, the inner container is flushed with a desired mixture of gases to substantially remove oxygen from the inner container. The flushed inner container is then sealed and inserted into the outer container without sealing the outer container. Next, the outer container is flushed with the desired mixture of gases to substantially remove oxygen from the outer container. After flushing the outer container, the outer container is sealed. An oxygen scavenger is provided in the package to substantially absorb any residual oxygen within the package.