A unit for control or management of products, including rolls of paper material, includes a plant including an operating line including at least one upstream section including a log saw for cutting rolls off elongate logs, a packaging section for primary packaging, including a packing section where the rolls are packed, and a bagging section where the packs are placed in bags and/or a palletizing section where the packs or bags are placed on pallets. A conveying section transports products between one section of the plant and another, in particular between the upstream section and the packaging section and/or between one packaging section and another downstream. A process controller controls the functioning of the plant sections. The unit includes a device for eliminating a defective product or roll.