Yes, Penrose was looking for "Evidence" of a another universe in the Wmap data back in 2010.
"Signals from Before the Big Bang" --Were Telltale Patterns Glimpsed in the Afterglow?
This new evidence however support inflation.
also
"A search for concentric circles in the 7-year WMAP temperature sky maps
Authors: I. K. Wehus, H. K. Eriksen
Abstract: In a recent analysis of the 7-year WMAP temperature sky maps, Gurzadyan and Penrose claim to find evidence for violent pre-Big Bang activity in the form of concentric low-variance circles at high statistical significance. In this paper, we perform an independent search for such concentric low-variance circles, employing both chi^2 statistics and matched filters, and compare the results obtained from the 7-year WMAP temperature sky maps with those obtained from LCDM simulations. Our main findings are the following: We do reproduce the claimed ring structures observed in the WMAP data as presented by Gurzadyan and Penrose, thereby verifying their computational procedures.
However, the results from our simulations do not agree with those presented by Gurzadyan and Penrose. On the contrary we obtain a substantially larger variance in our simulations, to the extent that the observed WMAP sky maps are fully consistent with the LCDM model as measured by these statistics."
Penrose's Cyclic Cosmology : Cosmic Variance
They also were using WMAP Data and now we have better ones using Planck satellite data.
There are different models for Cyclic cosmology and that is important when discussing it all. For example multiverses and bubble universes, much different then say the big crunch that they have basically ruled out now.