As Aaron's sons were also clad in those vestments; so all true believers are clothed with the same robe of the Redeemer's righteousness. Isaiah 61:6.
Related Commentaries of Leviticus 8:13
Leviticus 8:13
13 And Moses brought Aaron's sons, and put coats upon them, and girded them with girdles, and put bonnetsa upon them; as the LORD commanded Moses.