Acharya Abhinavagupta, in his Gitartha Samgraha explicitly regards the Vedas as the highest authority on Dharma. This is what he comments on the following verses from the Bhagavad Gita which appears to be a criticism of the Vedas:
2.43 The undisceming, delighting in the study of the Veda,O Partha, speak flowery words declaring that there is nothing else.
2.44 They are filled with desires and have heaven as their highest goal; during their lifetime they strive to attain the fruit of actions
and prescribe many special rites for the attainment of enjoyment and
power.
2.45 A discerning state of intellect does not arise in the meditation of those who are attached to enjoyment and power, and whose minds are
carried away by those flowery words.
Acharya Abhinavagupta's commentary: Those who are overwhelmed by desire for the fruits of action perceive Vedic texts as “flowery
words” (puspitam vacam). In other words, they perceive the Vedas as
being permeated by the fruits of sacrifice, such as the heaven that
might be attained in the future. These people accept action as the
only purpose in life. This way of thinking shows that they were not
properly educated. They have been misled by their wrong interpretation
of the Vedas, which is the result of their own imagination. Therefore,
even if they possess a decisive intellect they are not entitled to
samadhi. This is because they practice samadhi in order to attain some
limited result. This is in brief the purport of these three
verses.Therefore, the Lord said:
2.46 The Vedas possess three qualities (gunas), which are instrumental in binding. Free yourself from these three gunas, O Arjuna; be beyond
duality, ever established in the highest reality, free from thoughts
of possessions and comfort, possessed of the Self.
Acharya Abhinavagupta's commentary: The Vedas possess qualities called the three gunas, which are instrumental in binding (sinvanti
badhnanti,5) (a person) to a great extent or particularly (visesena
I6). However, the Vedas themselves are not instrumental in binding. If
Vedic rituals are being performed with the notion of attaining fruits,
which are characterized by one of these three gunas, only then the
Vedas are binding. Therefore, the three gunas, which are of the nature
of desire, are to be abandoned.This verse, however, should not be
taken to be a criticism of the Vedas. If it were criticism, then the
topic under consideration (the necessity for Arjuna to fight the war)
would be difficult to justify. This is because the Vedas are the
highest authority in ascertaining one’s dharma. Those who have lost
interest in the fruit of action are not bound by the Vedas.Therefore,
the Vedas are of great assistance to those seeking the highest
knowledge....
Therefore, the Vedas are regarded as the highest authority in Kashmiri Shaivism.