What is the evidence of motion of the universe?

Answer 1

The most important piece of evidence that shows that the universe is in motion is the Doppler Effect, also termed the red shift. This basically means that objects headed away the observer will have their light bent toward the "red" (lower frequency) side of the light spectrum while objects headed toward the observer will have their light bent toward the "blue" (higher frequency) end of the spectrum. By using the Doppler Effect we are able to that the majority of the universe is in motion, expanding outward.

Answer 2

One evidence of the motion of the universe is the observed redshift of light from distant galaxies, indicating that they are moving away from us. The cosmic microwave background radiation also provides evidence of the expansion of the universe. Additionally, the Doppler effect, where the frequency of light or sound waves shifts depending on the relative motion between the source and observer, supports the idea of universal motion.