How shall he call them?
'In the above text was the apostle referring to being non-jewish (by birth) or to be unregenerate, under dominion of the flesh & carnal?'
Ephesians 2:11 Wherefore remember - Such a remembrance strengthens faith, and increases gratitude. That ye being formerly gentiles in the flesh - Neither circumcised in body nor in spirit. Who were accordingly called the uncircumcision - By way of reproach. By that which is called the circumcision - By those who call themselves the circumcised, and think this a proof that they are the people of God; and who indeed have that outward circumcision which is performed by hands in the flesh (John Wesley's Notes on the Bible, Pub. (1755-1766); public domain. vs. this.
"...and this was the reason why he had Timothy circumcised (Clement of Alexandria [AD 150-215], Stromata, Book VII:ANF-02-35. public domain. index Eph 2:11)."
He is speaking of them '...in time past...' before the revelation, of the righteousness of God by faith, and before they had been included with that number, that are not after the flesh, but after the spirit, where
Rom 10:12...there is no difference between the Jew and the Greek: for the same Lord over all is rich unto all that call upon His name."
And, a place where...
1Co 7:19 Circumcision is nothing, and uncircumcision is nothing, but the keeping of the commandments of God.
"To illustrate: the noble apostle circumcised Timothy, though loudly declaring and writing that circumcision made with hands profits nothing (Clement of Alexandria ibid., 69)."
Also, by the circumcision they were referred to as the uncircumcision, which was an outward sign given to the Jews. And by which Paul also refers to the Jews, being his near kinsmen, and in the same manner.
Rom 9:3 For I could wish that myself were accursed from Christ for my brethren, my kinsmen according to the flesh:
In this manner Paul is referring to those gentiles. The distinction being, the abrogation of, and the nullifying of these terms; both circumcision, and after the flesh, which now only apply to those who are not counted in Isaac, after the promise, which is obtained by faith.
He speaks to those gentiles in past tense, in their former state, as opposed to here.
Rom 9:6 Not as though the word of God hath taken none effect. For they are not all Israel, which are of Israel:
Rom 9:7) Neither, because they are the seed of Abraham, are they all children: but, In Isaac shall thy seed be called.
Rom 9:8 That is, They which are the children of the flesh, these are not the children of God: but the children of the promise are counted for the seed.
(Gal 3:7) Know ye therefore that they which are of faith, the same are the children of Abraham.
"For if "faith" is the source whence we are reckoned to Abraham as his "sons" (as the apostle teaches, saying to the Galatians, "You know, consequently, that (they) who are of faith, these are sons of Abraham (Tertullian On Monogamy, Fathers. Vol 2: ch. 04-17. public domain."
However, Paul, in that verse you are referring to, is reminding them of that time, before they had believed; being shut up to the promises of God, and being in the world, and without God, not having heard of the promise of God, by faith.
"...them to remember, that at the time when they were Gentiles they were without Christ, aliens from (the commonwealth of) Israel, without intercourse, without the covenants and any hope of promise, nay, without God, even in his own world (Tertullian[AD 160-220], Tertullian Against Marcion, Book V: ANF-03-35. public domain)," index Eph2:12