And as for the second source, you're not reading it correctly, either, as it says:
So no, the CDC isn't "reporting" this, as you stated in your initial post. It's merely a slide in a presentation about unpublished material.
And, to be very clear, CNN's reporting is misleading. If you bother to follow the link to WaPo, you'll notice that CNN's statement of the claim is not exactly the same as what WaPo is reporting, which is:
This doesn't mean that vaccinated people will become infected with the delta strain as easily as non-vaccinated people, it just means that once a breakthrough infection occurs (at a much, much lower rate than for non-vaccinated people), the infected person can still transmit virons at the same level. This still means that vaccinated people will greatly limit overall transmissibility simply because they're becoming infected less often.
So you'll pardon me if I continue to combat even well-intentioned misinformation on the subject of a global pandemic.