Hughes:

1) Should taste death; a metaphor to express to die as a sacrifice, making satisfaction to Divine justice, and expiating sins, Isa. liii.10. All his sufferings in body and soul, which were many and bitter, are here intended, and their completion by death, Matt. xxvi. 39, 42, intimating by his taste of this deadly cup, his sipping of it, but not having swallowed it: and it is a metaphor allusive to the Grecian customs, who put men to death by giving them a cup of poison, as the Athenians executed Socrates.

For every man; to render sin remissible to all persons, and them salvable, God punishing man’s sin in him, and laying on him the iniquities of us all, Isa. liii. 4-6; 1 John ii. 2; and so God became propitious and pleasable to all; and if all are not saved by it, it is because they do not repent and believe in him, 2 Cor. v. 19-21: compare John x. 15. This was evident to and well known by these Hebrews,, as if they saw it, the work, concomitants, and effect of it demonstrating it. And this now in the gospel is evident to faith: it was so certainly visible and evidently true, as not to be denied but by infidels.  Source: The Matthew Poole Annotations, Hebrews 2:9.

2) He also himself likewise took part of the same; God the Son himself paralesios, had the next and nearest correspondent condition with theirs, even the same as to the kind of it, as like as blood is to blood, properly and truly, only freed from our sinful infirmities, as ver. 17; chap. iv. 15; this word diminisheth him not, but showeth his identity: metesche, took part, he became a partner with the children, and took their nature. It is not the Same word as before, kekoinoneke, as the Marcionites and Manichees corrupt it, as if he had this nature only in common with them, making him only man. But being God, besides his Divine nature, &c., to it he took the human, even their true and full nature, consisting of a body and a soul, and so united them. that in him they became one person; so that hence results a double union of Christ with man. By his incarnation he is of one nature with all the human race, and so is the Head of them: and by his dying for them all the human race are made salvable, which angels are not; and those who repent and believe on him, are actually sanctified and united to him, as his elect and chosen body, and shall be saved by him. Source: The Matthew Poole Annotations, Hebrews 2:14.