It's implicit, but
Perhaps the single most important passage for the comprehension of Tolkien's mythology is something Ilúvatar says at the end of Ainulindalë:
"Thou shalt see that no theme may be played that hath not its utmost source in Me, nor can any alter the music in my despite. For he that attempteth this shall prove but mine instrument in the devising of things more wonderful, which he himself hath not imagined."
Notice that the "things more wonderful" are always engendered by the Music.
Tolkien evolved his concept of the Dwarves throughout his life. The initial version of Ainulindalë did not even include Manwë or Aulë, and the Dwarves were initially soulless creatures of Melko.
But by the time of the writing of the Hobbit they had become "people", their bodies fashioned by Aulë, willing to treat with Gandalf and hire Bilbo as a burgular: one of the "free peoples", as Treebeard recited his rhyme to Merry and and Pippin. But it was Ilúvatar who gave them life and spirits (fëar).
Also, each of the Ainur had their own level of comprehension of the Music. Manwë (probably also Melkor) was said to have the greatest knowledge of the mind of Ilúvatar, but not even Manwë, and clearly not Aulë, could comprehend the entire Music.
Ilúvatar seemingly addresses the passage at the beginning of this answer primarily to Melkor, but it applies to all of the Ainur, including Aulë. There was some music made by Aulë.
The Children of Ilúvatar (Elves and Men) were presented in the Third Theme that Eru introduced into the Music after the Discord of Melkor. However, it's not said that the Ainur were silent during the Third Theme. After all, Melkor was able to taint this theme, as well.
So if you were to ask me to guess where in the Music the Dwarves appeared, it would have to be some playing of Aulë's during this theme.