this phrase has two interpretations the first one means that the world is changing can be for good or bad way, and the second one mean when I want to remove something from above because it bothers me, this can be a person, thing or a problem.

As I understand it, "sacudir' means to shake, and I've often heard people say that something is 'sacudiendo el mundo', like something dramatic is shaking the world. So I would imagine she means the world is changing in a dramatic and not necessarily good way. Why don't you ask your grandma what she means? I would be curious to hear her answer.

Thanks for your response. But, yes it's clear to me. Pretty much life is different now then it was then sometimes for better sometimes for worse.