I definitely think that the human race fails to notice the expansion of the universe and life. I think that human beings are sometimes to preoccupied with the problems and issues we have on this planet. And we are ignorant to the things that are going on in the rest of the universe.
Even if we want to, we as humans simply cannot comprehend the vastness and scale of both life and the universe. That is not because we are dumb or that we do not care. Rather, both of those issue exist on scale which we cannot relate to, except in the abstract. We can only read about, for example, light years, but none of us has ever traveled that distance.
Yes, we fail to notice the expanse of the universe and life, because there are so many things that go on in our lives. So many times our lives are so important to us that we forget to stop and look up at the sky. We are small; it is easy to forget the world and universe is not.
Humans don't fail to notice the expanse of the universe and the expanse of life, it's just hard to conceptualize a universe that is 13.7 billion years old. There are hundreds of millions of galaxies in the universe with billions of stars in each grouping. This adds up to a huge number of possible planets with life on them. Humans don't fail to notice these concepts, it's just hard to grasp since 99.9 percent of what humans do is on Earth and not in outer space.