An agricultural machine for processing cut plants to be moved in a progression's direction, the machine includes a chassis fitted with a hitching device enabling it to be hitched to the tractor vehicle, multiple rotors equipped with raking teeth that can be driven in rotation around substantially vertical driving axes distributed on either side of a median plane passing through the chassis. Each outer rotor and the penultimate rotor adjacent to it, driven in opposite rotational directions, form a module of which a longitudinal plane contains the driving axis of the outer rotor and the driving axis of the penultimate rotor, and, in work configuration, the longitudinal plane of a first module forms, together with the median plane, an acute work angle that is open to the rear, and the longitudinal plane of a second module forms an acute work angle with the median plane open to the rear.