A system for controlling movements of doors of an HVAC module includes an actuation gear and an intermediate cam. A main door includes a first portion and a second portion having a first guide. The first portion engages with actuation gear to enable linear movement of the main door. A slave door includes a second engagement element and moves between a blocking and unblocking position based on movement of main door. The intermediate cam moves angularly and includes a first engagement element and a second guide. The first engagement element interacts with the first guide, and the second guide interacts with second engagement element to facilitate angular movement of slave door in response to movement of the main door. The first guide includes a bend positioned to enable angular movement of the slave door after the main door moves a pre-determined distance.