A high cleat rubber carrier system for conveying material at various angles, from generally horizontal to sixty degrees plus. The present invention also teaches a new and unique system for conveying chopped cane or bagasse at low, moderate, or high angles (for example, 40 degrees plus) during the refining process, for example, from a gravity chute to a donnely chute gravity compactor. Unlike traditional bagasse under-carrier conveyors, the present invention teaches a top carrier conveyer arrangement, which, as designed, has been found to convey even traditionally difficult materials, including, for example, chopped cane, bagasse, and other fibrous materials, even at relatively high angles, with little or no clogging. The present invention contemplates a skirted, cleated, endless belt conveyer having a transition plate disposed adjacent to the discharge chute, the transition plate affixed to catch return underpan situated below the conveyor, for catching debris or "carry back" missing the discharge chute, to re-feed the debris back onto the conveyor.