A container includes a housing that has a box and a lid, where the box includes a front wall and a back wall. A hinged connector is connected to the lid at a first hinge line and connected to the back wall of the box at a second hinge line. The container also includes an inner package disposed within the housing. The inner package includes a first layer that defines a flap and a second layer at least partially attached to an inner surface of the first layer, where the second layer defines an access opening through which the consumer goods can be removed. The lid is movable between a closed position and an open position. The inner package is covered by the lid and the box when the lid is in the closed position and at least partially uncovered when the lid is in the open positon.