Equipment for sorting parcels into bags comprises a bag support having a modular structure with modules that are provided with braked wheels and that are arranged to be coupled together in separable manner, at least one mobile shuttle robot cart and trolley assembly that is caused to be moved by being remotely controlled by a monitoring and control unit to move parcels to be sorted along the bags, and floor marking that is arranged along the bag support modules and that is detectable by the shuttle cart and trolley assembly while said shuttle cart and trolley assembly is moving along the bag support modules.