Yes, plenty evidence exists behind the big bang theory, however, I am not a physicist, so not sure I can explain it well enough! The Big Bang theory describes how the Universe began in a rapid expansion about 13.7 billion years ago and has evolved since that time. Here is some evidence that I found online…
Hubbles law.
Galaxies appear to be moving away from us at speeds proportional to their distance. This is called “Hubble’s Law,” named after Edwin Hubble who discovered this phenomenon in 1929. This observation supports the expansion of the universe and suggests that the universe was once compacted.
CMB evidence
Since the 1940s, scientists have detected radiation from early in the Universe’s history with radio telescopes and satellites and named it cosmic microwave background radiation. The cosmic microwave background is considered important evidence in support of the Big Bang because it matches theorists’ predictions.
There are lots of other evidence that if you are interested, you can look at online.
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