Moses’ anointing of the tabernacle, the altar, and the laver, with all their utensils, to sanctify them (vv. 10-11) signifies that Christ and the church (the tabernacle), the cross (the altar), and the washing of the Spirit (the laver) are related to the New Testament priesthood for the priests’ sanctification. See note Exo. 25:92b, note Exo. 27:11b, and note Exo. 30:181a.
The anointing brings the Triune God compounded with Christ’s humanity, human living, death, resurrection, and ascension to the priests and to the church life. This indicates strongly that the anointing of the priesthood is to make God one with us, for the anointing signifies that whatever God is, is doing, and will do are ours (see note Exo. 30:251 and note Exo. 30:261a). In the consecration of the priests the sin offering and the burnt offering immediately followed the anointing (vv. 14-21). These offerings remind us of who and what we are, and of what we should be and yet are not. See note Lev. 8:141 and note Lev. 8:181.