This Parashas Tzav means Command and is about the burnt offerings. In this parasha we will show a running theme in another part of the bible that has chiastic structure with one another.
Moses was told to command Aaron and his sons and the Kohen accordingly. The fire on the alter is to be kept burning. It is not to be extinguished. A permanent fire is to remain burning. For 116 years the fire burned continuously. The thin copper layer did not melt and the wooden inner structure was not charred.

Another interesting part of this parasha is the rule that Moses plays in the preparing Aaron and his sons.
It says that YHWH commanded Moses to bring Aaron and his sons and immerse them in water. Then place a Tunic upon Aaron and gird him with a Sash; Moses dressed him in the Robe and placed the Ephod on him and he gird him with the belt of the Ephod to adorn him. Moses placed the breastplate upon Aaron and in the Breastplate he placed the Urim and the Tumim. He put a Turban upon his head and upon the Turban he placed a golden plate as YHWH had commanded him. On the golden plate read in Hebrew. Kadosh La YHWH, which means Holy Unto YHWH.

Moses then took the oil of anointment and anointed the Tabernacle and everything within it. Including the Alter and all its utensils and the Laver and its base. Then he took the oil of anointment and poured it upon the head of Aaron.

Anointing the objects on the Tabernacle is to sanctify them for a holy use. The pouring of the anointing oil on the head of Aaron is to elevate him to station of holiness. It gives him a special protection. And a warning is given two times in scripture that he is not to be harmed.
1 Ch. 16:22 and Ps. 105:15 “Touch not mine anointed and do my prophets no harm.”
Kings too are anointed by having anointing oil poured on their head, giving them special status.

Moses also brought the sons of Aaron forward and he dressed them in Tunics and girded them each with a Sash and the Headdress as YHWH had commanded him.

Then Moses did sacrifice according to YHWH's command. All this Moses did but the scriptures never mention Moses as being a priest of any sort.
So, what is Moses status in all this? He is not dressed in any special clothes or anything elaborate.
Is there any parallels in the bible?

Think about the parable of the vine that Y'shua spoke of. He said in other words, I am the vine, my Father is the vine dresser and ye are the branches.

Here we see Aaron is the High Priest and Y'shua is our High Priest.
We are told that Moses dressed Aaron and the sons of Aaron. So Moses is as the Father. And Aaron is as the vine and the sons are as the branches.

Also we can see a parallel with Moses and the first two Kings of Israel.
The purpose of YHWH having a King is for a vessel to deliver His people.
1Sa 9:16 Tomorrow about this time I will send thee a man out of the land of Benjamin, and thou shalt anoint him to be captain over my people Israel, that he may save my people out of the hand of the Philistines: for I have looked upon my people, because their cry is come unto me.

2Sa 3:18 Now then do it: for the LORD hath spoken of David, saying, By the hand of my servant David I will save my people Israel out of the hand of the Philistines, and out of the hand of all their enemies.
Moses was also a deliverer. As he was the vessel that YHWH used to deliver His people out of the land of Egypt. Moses went in the presents of YHWH many times to speak to Him face to face as a man speaks to his friend. And so did David go into the Holy of Hollies during the incident with Bathsheba and was not stuck dead. It is said that only the High Priest could enter the Holy of Hollies and only once a year. On Yom Kippurim (Day of Atonement).
So Moses also had King status.