For every high priest taken from among men - This seems to refer to Leviticus 21:10, where it is intimated that the high priest shall be taken מאחיו meachaiv, from his brethren; i.e. he shall be of the tribe of Levi, and of the family of Aaron.

Is ordained for men - Ὑπερ ανθρωπων καθισταται τα προς τον Θεον· Is appointed to preside over the Divine worship in those things which relate to man's salvation.

That he may offer both gifts and sacrifices for sins - God ever appeared to all his followers in two points of view:

1. As the author and dispenser of all temporal good.

2. As their lawgiver and judge. In reference to this twofold view of the Divine Being, his worship was composed of two different parts:

1. Offerings or gifts.

2Sacrifices.

1. As the creator and dispenser of all good, he had offerings by which his bounty and providence were acknowledged.

2. As the lawgiver and judge, against whose injunctions offenses had been committed, he had sacrifices offered to him to make atonement for sin.

The δωρα, or gifts, mentioned here by the apostle, included every kind of eucharistical offering. The θυσιαι, sacrifices, included victims of every sort, or animals whose lives were to be offered in sacrifice, and their blood poured out before God, as an atonement for sins. The high priest was the mediator between God and the people; and it was his office, when the people had brought these gifts and sacrifices, to offer them to God in their behalf. The people could not legitimately offer their own offerings, they must be all brought to the priest, and he alone could present them to God. As we have a high priest over the house of God, to offer all our gifts and his own sacrifice, therefore we may come with boldness to the throne of grace. See above.

every.

Hebrews 10:11 And every priest stands daily ministering and offering oftentimes the same sacrifices, which can never take away sins:

Exodus 28:1 And take you to you Aaron your brother, and his sons with him, from among the children of Israel...

*etc:

Exodus 29:1 And this is the thing that you shall do to them to hallow them, to minister to me in the priest's office: Take one young bullock...

*etc:

Leviticus 8:2 Take Aaron and his sons with him, and the garments, and the anointing oil, and a bullock for the sin offering, and two rams...

is ordained.

Hebrews 8:3 For every high priest is ordained to offer gifts and sacrifices: why it is of necessity that this man have somewhat also to offer.

for men.

Hebrews 2:17 Why in all things it behooved him to be made like to his brothers...

Numbers 16:46-48 And Moses said to Aaron, Take a censer, and put fire therein from off the altar, and put on incense, and go quickly to the congregation...

Numbers 18:1-3 And the LORD said to Aaron, You and your sons and your father's house with you shall bear the iniquity of the sanctuary...

both.

Hebrews 8:3 For every high priest is ordained to offer gifts and sacrifices: why it is of necessity that this man have somewhat also to offer.

Hebrews 9:9 Which was a figure for the time then present, in which were offered both gifts and sacrifices...

Hebrews 10:11 And every priest stands daily ministering and offering oftentimes the same sacrifices, which can never take away sins:

Hebrews 11:4 By faith Abel offered to God a more excellent sacrifice than Cain, by which he obtained witness that he was righteous...

Leviticus 9:7,15-21 And Moses said to Aaron, Go to the altar, and offer your sin offering, and your burnt offering, and make an atonement for yourself...

Our Compassionate High Priest
"Who can have compassion on the ignorant, and on them that are out of the way; for that he himself also is compassed with infirmity."--Hebrews 5:2 The high priest looked Godward, and therefore he had need to be holy; for he had to deal with things pertaining to God. But at the same time he looked manward; it was for men that he was ordained, that, through him, they might deal with God; and therefore he had need to be tender. It was necessary that he should be one who could have sympathy with men; …
Charles Haddon Spurgeon—Spurgeon's Sermons Volume 38: 1892

The Impossibility of Renewal.
"Of Whom we have many things to say, and hard of interpretation, seeing ye are become dull of hearing. For when by reason of the time ye ought to be teachers, ye have need again that some one teach you the rudiments of the first principles of the oracles of God; and are become such as have need of milk, and not of solid food. For every one that partaketh of milk is without experience of the word of righteousness; for he is a babe. But solid food is for full-grown men, even those who by reason of …
Thomas Charles Edwards—The Expositor's Bible: The Epistle to the Hebrews

I am first to give you some directions for bringing your people to submit to this course of catechizing and instruction.
I am first to give you some directions for bringing your people to submit to this course of catechizing and instruction. 1. The chief means of all is this, for a minister so to conduct himself in the general course of his life and ministry, as to convince his people of his ability, sincerity, and unfeigned love to them. For if they take him to be ignorant, they will despise his teaching, and think themselves as wise as he; and if they think him self-seeking, or hypocritical, and one that doth not …
Richard Baxter—The Reformed Pastor