They had already won the battle over Sihon. Sihon was the king of the Amorites. He had ruled in Heshbon. Israel had also won the battle over Og at Edrei. Og was the king of Bashan. He had ruled in Ashtaroth.
So it includes the entire kingdom of Og in Bashan. Og had ruled in Ashtaroth and Edrei. He was the last of the Rephaites. Moses had won the battle over Sihon and Og. He had taken over their land.
It includes half of the land of Gilead. It also includes Ashtaroth and Edrei. They were the royal cities of Og in Bashan. That land was given to half of the family line of Makir. He was the son of Manasseh. Each family group received its share.