Complex sentence: This law restored the power (postestas) of the plebeian tribunes (often referred to as tribunician powers) and put the principle of the inviolability (sacrosanctitas) of the plebeian tribunes, the aediles (the assistant of these tribunes) and the decemviri into law.
Split into simpler sentences: This law restored the potestas tribunicia, the powers of the plebeian tribunes (often referred to as tribunician powers). It also put the principle of the inviolability (sacrosanctitas) of the plebeian tribunes, the aediles (the assistant of these tribunes) and the decemviri into law.