Nigeria continued to be the dominant force, but it wasn't until the 79th minute where they made it count. Moses was hauled down by Alula Girma inside the area and the former Wigan Athletic player tucked away the resultant penalty.
Moses's services from the spot were required again as the match entered the 90th minute. He was again the man that was brought down, this time by keeper Bancha, who was handed a red card for the challenge.
Addis Hintsa took his place between the posts, but he was unable to prevent Moses from scoring his second penalty.
The result means that Nigeria go through as runners-up behind Burkina Faso.