Thomas and the Dominicans: God premoves and applies secondary causes to their work (Estius)
Thomas and most of his followers, chiefly the Dominicans, teach that to explain God's concurrence it is not enough to say simply that God flows into the various acts and effects of secondary causes and gives them and keeps them in being, as he created and keeps in being the secondary causes themselves and their powers.
They insist that something more is needed: God must premove the secondary causes and apply them to their work, without which they would do nothing whatever. This, they say, is what the dependence of secondary causes on God as first mover requires.
On their view God is called the first mover precisely because he moves all other causes beforehand and applies them to their operations, and so produces all the effects of secondary causes first in the order of nature, though not of time. So Estius puts it on book 2 of the Sentences, distinction 24, paragraph 14.
Latin
X. Thomas & plerique illius sequaces, quales praecipue sunt Dominicani, docent ad divinum concursum explicandum, non satis esse si dicamus simpliciter, Deum influere in actus & effecta varia causarum secundarum, illisque tribuere & conservare suum esse, sicut ipsas causas secundas, & earum Virtutes creavit & conservat: Sed praeterea requiri contendunt, ut Deus ipsas causas secundas praemoveat & applicet ad opus, absque quo nihil illae prorsus acturae forent. Hoc enim exigere dependentiam causarum secundarum a Deo, ut a primo movente. Quippe ex eorum mente Deus propterea dicitur primum movens, quia ipse omnes alias causas antecedenter movet & applicat ad operationes suas, adeoque prius natura, etsi non tempore, effectus omnes causarum secundarum producit. Ut loquitur Estius in 2. Sententia ad distinct. 24. paragr. 14.