You would need to give us a link to the audio or video. I suspect you misheard.

Over past weeks is a more non specific way of saying it, something you might read in a book or see in a dialogue in a movie. Over the past weeks is more specific and applies better to what you might be talking about at the time. Over the past few weeks is also an even more specific way of saying it. All three are technically correct but the second and third should probably be used.