A door closer system having a door closer that includes at least one sensor configured to sense an operating characteristic or condition relating to the door closer including a position or speed of displacement of at least a portion of the door closer or an associated entryway device. The sensor(s) can also provide information relating to the performance or condition of one or more components of the door closer, such as the operation of a backcheck mechanism, as well as tracking the number of door cycles. Information obtained by the sensor(s) of the door closer system can be communicated to a lockset device of an entryway control system. The lockset device can be configured to communicate information received from the door closer system to an access control system, which can in turn provide the communicated information to a management system.