A feederhouse conveyor system for an agricultural harvesting machine is provided. The feederhouse conveyor system includes a power transmitting system. The power transmitting system includes first rollers, second rollers, and power transmitting bands. The power transmitting bands are configured to each transmit power between each of the first rollers and the second rollers. The feederhouse conveyor system also includes rigid cross members, configured to each attach near each end to at least one of the power transmitting bands, and flexible cross members configured to each attach near each end to at least one of the power transmitting bands. The centerlines which extend through the rigid cross members and the flexible cross members are parallel. The mat attaches to the flexible cross members by a pocket in the mat through which the flexible cross members extend.