For namesake, they have given a Vedic touch to the non-Vedic Hindu belief system.+

The religious Gurus are only a knower of the religious doctrines, not a knower of the ultimate truth or Brahman or God.  The Knower of the ultimate truth or Brahman or God is Brahma Gnani. A Brahma Gnani has realized the knowledge beyond the form, time, and space. Religion is nothing to do with Spirituality. 

Spirituality is the knowledge of the Spirit, which is beyond the form, time, and space. The knowledge or Spirit is Self-knowledge or Brahma Gnana or Atma Gnana. 

Hinduism indulges non-Vedic beliefs such as idolatry, ancestor worship, pilgrimages, priestcraft, offerings made in temples, the caste system, untouchability and child marriages. All these lack Vedic sanction, therefore; Hinduism is not Ancient Vedic religion or Santana Dharma.

When we bifurcate all the non-Vedic elements from the Hindu belief system, then we will be able to realize Vedas are nothing to do with the Hindu belief system.  For namesake, they have given a Vedic touch to the non-Vedic Hindu belief system.

All Hindu Gods are not Vedic God. The Vedas exclaim from time immemorial: ~

Yajurveda – chapter- 32:~ God is Supreme Spirit has no ‘Pratima’ (idol) or material shape. God cannot be seen directly by anyone. God pervades all beings and all directions. Thus,   Idolatry does not find any support from the Vedas.

The Vedas exclaim from time immemorial: ~              

Rig Veda, 1-164-146 :~Ekam Sat Vipra Bahudha Vadanti, Existence is One 

God is one and universal.

God is the Spirit.  The Spirit is the Soul, the innermost Self.  God is the Soul, the innermost Self.  The Soul is the Supreme Being the One eternal homogeneous essence, indivisible consciousness and intelligence, which is beyond the form, time, and space.   To which the Sages describe in a variety of ways through diverse words.

Rig Veda: ~ The Atman (Soul) is the cause; Atman is the support of all that exists in this universe. May ye never turn away from the Atman the innermost self. May ye never accept another God in place of the Atman nor worship other than the Atman?" (10:48, 5)

Bhagavad Gita: ~ Brahmano hi pratisthaham Brahman (God) is considered the all-pervading consciousness which is the basis of all the animate and inanimate entities and material (Gita 14.27)

The Upanishads say in effect that: ~ if you believe that the Soul is one and God (Brahman) is another you cannot understand Truth.

Brihad Upanishad: ~ “If you think there is another entity, whether man or God there is no truth."

Religion advocates extreme asceticism. Asceticism is a waste of time. Religion is nothing but remaining in the false belief, dogmas, and superstition.  

Mundaka Upanishad:~  The rituals and the sacrifices described in the Vedas deal with lower knowledge. The sages ignored these rituals and went in search of higher knowledge. ... Such rituals are unsafe rafts for crossing the sea of samsara, of birth and death. Doomed to shipwreck are those who try to cross the sea of samsara on these poor rafts. Ignorant of their own ignorance, yet wise In their own esteem, these deluded men Proud of their vain learning go round and round Like the blind led by the blind.

Sage Sankara says:~ The scriptures dealing with rituals, rewards are therefore addressed to an ignorant person. Thus, the rituals are meant for ignorant people.

Sage  Sankara: ~ "Though I wear these robes of a Sanyasin, it is only for the sake of bread."

~ This shows he was wearing the religious robe only for the sake of bread." Thus, it means those who are wearing religious robe for the sake of bread.

All the rituals based on the false belief of Gods will not yield any fruits and they are meant for the ignorant populace who are unable to grasp the God beyond the form, time, and space.

One of Sage Sankara’s missions was to wean people away from a ritualistic approach advocated by Mimamsakas and to project wisdom (jnana) as the means of liberation in the light of Upanishad teachings.

Sage Sankara criticized severely the ritualistic attitude and those who advocated such practices. However, the orthodox texts that combined rituals with wisdom (jnana_karma_samucchaya) more in favor of the Mimamsaka position came into vogue, projecting Sage Sankara as the rallying force of the doctrine. 
Remember:~

Bhagavad Gita: ~ ‘All those whose intelligence has been stolen by material desires, they worship many God s. (7- Verse -20)

Only the path of wisdom leads the seeker of truth on his journey to the ultimate realization of the true nature of the Universal Essence, which is the Soul. The Soul is present in the form of consciousness.

Bhagavad Gita: 7: 19:~ "Such a man who has attained true knowledge, the knowledge of Self, the knowledge of Atman, worships ‘Self’ as~ Atman (God) alone exists~ everything is Atman, there exists nothing except Atman. Such a man is extremely rare."

The Bhagavad Gita: ~ Brahmano hi pratisthaham ~ Brahman (God) is considered the all-pervading consciousness, which is the basis of all the animate and inanimate entities and material. (14.27).

When Bhagavad Gita says, God is considered the all-pervading consciousness which is the basis of all the animate and inanimate entities and material then nothing has to be accepted as God other than consciousness.

Lord Krishna Says Ch ~V: ~ “Those who know the ‘Self’ in truth.". The last two words (tattvataha) are usually ignored by pundits, but they make all the difference between the ordinary concept of God and the truth about God. 

The dualistic worship of "God” is only for the ignorant populace. The God in truth is only Atman, the innermost Self. In reality, there is no duality, no differentiation. Only Atman exists.

Brihadaranyaka Upanishad IV-13:~ ‘As a mass of salt has neither inside nor outside, but is entirely a mass of taste, thus indeed, has that Self neither inside nor outside but is altogether a mass of Knowledge. Just as a lump of salt has inside as well as outside one and the same saltish taste, not any other taste, so also that Brahman (consciousness) has inside as well as outside one and the same intelligence. Inside and outside are mental creations only. When the mind melts in silence, ideas of inside and outside vanish. The sages cognize one illimitable, homogeneous mass of consciousness only.

Causality taught in the Upanishads is only to enable us to understand the supreme truth of no-origination. The world is not different from the consciousness and the consciousness is not different from the Soul, the innermost Self, and the Soul is not different from the ultimate truth or Brahman. That the consciousness appears as the diverse world is only an illusion. If it really became diverse then the immortal would become mortal.

The dualists who seek to prove the origination of the unborn, by that very enterprise try to make the immortal, mortal. Ultimate nature can never change - the immortal can never become mortal and vice versa.

Sage Goudapada quotes from the Upanishads: ~ "There's no plurality here"; "The Soul through its powers appears to be many"; "those who are attached to the creation or production or origination go to utter darkness"; "the unborn is never reborn, for what can produce it?”. : ~ Santthosh Kumaar