There is a very small of red shift. If you were standing on the equator watching a sunset, then your radial velocity relative to the sun is only ~461m/s. So the green light from the sun 550nm would be red shifted by +0.08nm. That little red shift wouldn’t be noticeable. However, as the sun sets there’s a lot more atmosphere in the way, which scatters blue light more than red light. (Why the sky is blue)