The rich don't get richer and the poor don't get poorer. In economies that prioritize private property and free enterprise, the poor get richer, the rich get richer. In states with redistributive welfare policies (like almost all western nations), inequality doesn't really go up either.
I should add that I do not believe that material inequality is a bad thing. If these redistributive policies were phased out, I wouldn't care insofar as it means people have more material inequality. What matters is poverty and inequality does not cause poverty.
Regardless of all of this, it has never been the case that money per se is the cause of any of these issues. Money is a general medium of exchange. It doesn't force anyone to do anything.