Complex sentence: The red nucleus receives many inputs from the contralateral cerebellum and an input from the ipsilateral motor cortex, and sends efferent axons (the rubrospinal projection) to the contralateral half of the rhombencephalic reticular formation and spinal cord.
Split into simpler sentences: The red nucleus receives many inputs from the contralateral cerebellum and an input from the ipsilateral motor cortex. It sends efferent axons (the rubrospinal projection) to the contralateral half of the rhombencephalic reticular formation and spinal cord.