The view that brahman/God is the author of the vedas is accepted in advaita.
Adi Shankara's bhashya on Brahmasutra 1.1.3 where he gives two interpretations of the sutra. In the first interpretation, brahman is the source of vedas.
- (The omniscience of Brahman follows) from its being the source of Scripture.
Brahman is the source, i.e. the cause of the great body of Scripture, consisting of the Ṛg-veda and other branches, which is supported by various disciplines (such as grammar, nyāya, purāṇa, &c.); which lamp-like illuminates all things; which is itself all-knowing as it were. For the origin of a body of Scripture possessing the quality of omniscience cannot be sought elsewhere but in omniscience itself. It is generally understood that the man from whom some special body of doctrine referring to one province of knowledge only originates, as, for instance, grammar from Pāṇini possesses a more extensive knowledge than his work, comprehensive though it be; what idea, then, shall we have to form of the supreme omniscience and omnipotence of that great Being, which in sport as it were, easily as a man sends forth his breath, has produced the vast mass of holy texts known as the Ṛg-veda, &c., the mine of all knowledge, consisting of manifold branches, the cause of the distinction of all the different classes and conditions of gods, animals, and men! See what Scripture says about him, 'The Ṛg-veda, &c., have been breathed forth from that great Being' (Bṛ. Up. II, 4, 10).