No, what you read is incorrect. It’s a secularist polemic, nothing more.
While I’d say St.Augustine (though he wasn’t alone amongst the Fathers in this) was a little on the “severe” side on this topic, his views on sexuality are a little more complicated than most will give credit.
Like the Scriptures, St.Augustine understood consecrated virginity/continence to be superior to marriage. However, one being superior does not make the other bad. Just as if I were to say “platinum is more costly than gold”, this doesn’t mean gold is cheap!
In his view, the need to procreate is not as pressing now that the Lord has come, and we are living in the “last aeon”; really everything from the Ascension onward is one big “waiting game”, letting the Lord gather His sheep…and when He determines He’s done, that’s it - end game, judgement of all, etc.
With that said, St.Augustine still thought marriage was holy, and valuable as a means of conquering lust, which fallen man is prone to. And while he recognized that even within marriage one often feels the same kind of “lusty feelings” that one would feel if they were simply fornicating, he taught that this was “pardoned” by the fact that marriage allows those baser feelings to be enobled and used for a higher end - namely, the conceiving of Godly children, and for securing the friendship of the spouses (what some would call the “unitive” aspect of marriage.)
Probably the only area where St.Augustine would be seen as “excessive” by some, is that he found fault with married couples who used their conjugal rights for reasons other than the conception of a child. He, like St.Clement of Alexandria and a few other Fathers, thought this “unnatural” (ex. the case of spouses having sexual relations when they knew conception wasn’t possible - like old age, etc.) He also seemed to have thought certain sexual practices were in and of themselves unnatural and degrading, so he probably wouldn’t have thought too well of either NFP or Catholicism’s tolerance of pretty much anything in marriage so long as it doesn’t harm the health of the spouses and on the “male end” of things is completed “naturally”.