Do charvakas believe in reincarnation ? The thing is it is not fitting in quality standards so I have to write this. just ignore it
No, they do not. The Chárváka system is a materialistic philosophy developed by Brihaspati.
From the Sarva darshana Samgraha
While life is yours, live joyously;
None can escape Death's searching eye:
When once this frame of ours they burn,
How shall it e'er again return?*
There is no heaven, no final liberation, nor any soul in another world, Nor do the actions of the four castes, orders, &c., produce any real effect.
If he who departs from the body goes to another world,
How is it that he comes not back again, restless for love of his kindred?
They quote the Śruti for this [Brịhad Áranỵ . Up. ii. 4, 12], "Springing forth from these elements, itself solid knowledge, it is destroyed when they are destroyed,—after death no intelligence remains." Therefore the soul is only the body distinguished by the attribute of intelligence, since there is no evidence for any soul distinct from the body, as such cannot be proved, since this school holds that perception is the only source of knowledge and does not allow inference,
Unlike other schools of philosophy in Sanatana Dharma, this school believes only in perception as a valid source of knowledge.
Adi Shankara, in his bhashyas and in his sarva siddhanta samgraha, refers to this philosophy as Lokáyatikas. This is said to be a subsect of the Chárváka. However, Lokáyatikas just means a view prevalent in the world. Shankara refutes this philosophy in great detail. From the sarva siddhanta samgraha,
verse 6: The Atman is the body itself. It is not distinct from the body.
verse 8: Higher than this world is none. There is no heaven or hell.
Sarva darshana samgraha is written by Sri Madhava Acharya, a pontiff of Sringeri Math in the lineage of Adi Shankara in 1331 AD.
Sarva siddhanta samgraha is attributed to Adi Shankara.