Microelectromechanical systems (MEMS) microphone devices and methods for packaging the same include a package housing, an interior lid, and an integrated MEMS microphone die. The package housing includes a sound port therethrough for communicating sound from outside the package housing to an interior of the package housing. The interior lid is mounted to an interior surface of the package housing to define an interior lid cavity, and includes a back volume port therethrough. The MEMS microphone die is mounted on the interior lid over the back volume port, and includes a movable membrane. The back volume port is configured to allow the interior lid cavity and the MEMS movable membrane to communicate, thereby increasing the back volume of the MEMS microphone die and enhancing the sound performance of the packaged MEMS microphone device.