The Hindu also believe in the ridiculous myth of Meru or Mount Sumeru, so why would I think that Hinduism have more credibility with cyclical model?
And the Cosmic Microwave Background Radiation (CMBR) is the observable of the earliest light of the early universe, which give no indication to the universe being "cyclical".
As to what Penrose have stated, it is still theoretical and speculative, and nothing he had stated stated about an even earlier universe is verifiable or testable.
You must understand that theoretical astrophysics, only present one of many possibilities, they don't necessarily indicate what theoretical astrophysicists say are true in reality, whether it comes from Penrose or Hawking.
They (theoretical astrophysics and cosmology) are never true, until they can verify them.