Every time you stand on a street corner and listen to the cars passing by you experience the Doppler Effect also known as the red shift in relation light waves. The sound waves produced by the cars as they approach you sound higher pitched than the sound of the cars moving away from you. The light waves from objects moving toward us appear as shorter light waves (blue) than light waves from objects moving away (red) from us.<quoted text>
The claim that the "universe is ever-expanding" is a claim that requires extraordinary proof since it something that is never observed in our world. You didnt give any evidence for it. By your criteria you are not justified in believing because it fails the extraordinary evidence principle.
Read a science book!