My fallible memory of my study of Augustine is that he was one of those who avoided TULIP by saying that God presents the elect only with those options that He foreknows they will "freely" choose leading to saving faith, but that ruse did NOT affirm Scripture teaching divine love for all including the non-elect--so no cigar.
Augustine's belief in God's absolute control of all things - including the desires and will make him a determinist. This is not what those before him taught:
1. This expression [of our Lord], ‘How often would I have gathered thy children together, and thou wouldest not,’
set forth the ancient law of human liberty, because God made man a free [agent] from the beginning, possessing his own power, even as he does his own soul, to obey the behests (ad utendum sententia) of God voluntarily, and not by compulsion of God. For there is no coercion with God, but a good will [towards us] is present with Him continually. And therefore does He give good counsel to all.
And in man, as well as in angels, He has placed the power of choice (for angels are rational beings), so that those who had yielded obedience might justly possess what is good, given indeed by God, but preserved by themselves. On the other hand, they who have not obeyed shall, with justice, be not found in possession of the good, and shall receive condign punishment: for God did kindly bestow on them what was good;
(Irenaeus, Against Heresies, book 4, chapter 37, paragraphs 1 – 7)