I provide some mantras from Vedas that specifically talk of rebirth:
O Blissful Ishwar, Please provide us again healthy eyes and other sense organs in next birth. Please provide us powerful vitality, mind, intellect, valor again and again in next births. We achieve bliss in this life and future lives. May we keep looking up to your glory always. Keep us in peace with your blessings.
O Ishwar, you provide us space, earth and other elements again and again so that our sense organs function. You provide us the ability to have good health and enjoy life in every birth. You make us strong again and again in various births.
Whenever we take birth, may our deeds be such that we get a pure mind, long life, good health, vitality, intellect, strong sense organs and a powerful body. In next life also, keep us away from bad deeds and indulge us in noble actions.
May we get healthy sense and work organs in next life as well. May I am full of vitality. May I have spiritual wealth and knowledge of Ishwar and vedic concepts again and again. May we be selfless for welfare of world in next lives again and again. May our deeds be noble so that we get human life and always get purity of mind and actions so that we can worship you and achieve salvation.
One who conducts noble actions obtains noble lives in next births with strong body and sharp intellect. Those who conduct bad deeds get birth in lower species. To experience the fruits of past actions is natural trait of soul. After death, the soul resides in Vayu, Jala, Aushadhi etc and again enters the womb to take next birth.
There are two paths for the soul. One path Pitriyan provides birth again and again through union of father and mother, good and bad deeds, happiness and sorrow. The other path of Devayana frees the soul from cycle of birth and death and provides bliss of salvation. The whole world reverberates with both these paths. And after both, the soul again takes birth as progeny of father and mother.
Question: Whom do we consider the most pure? Who is the most enlightened one in entire world. Who provides us mother and father again in the world after gifting us ultimate bliss or Mukti?
Answer: The self-enlightening, eternal, ever-free Ishwar alone is most pure. He alone provides us mother and father again in the world after gifting us ultimate bliss or Mukti.Hence, it is amply clear that those who claim that Vedas have no concept of rebirth are either fooling themselves or the world.