I'm trying to find the exact minute on the video.
I guess these are the questions you are talking about?
"Can you provide evidence that the earth orbits the sun?" No, and it doesn't matter. In general relativity all bodies travel in space in a straight line. Therefore the "orbit" is there only at a solar system scale, not locally. That is why you can't "feel it", because you're not going in circles and, in a way, according to GR, the Earth is in fact stationary (except for rotation).
What you **can** prove, is that the moon orbits the Earth and is quite heavy. We can prove that we are being orbited, thanks to gravity.
The contradictions posited in the Newton vs Einstein picture are only apparent. Newtonian physics are OK and used for practical purposes mainly on the surface of Earth. General Relativity is used for planetary scale, stellar scale, galactic scale, etc.
Both approaches are wrong and right. For example, Newton ignored what Einstein discovered about space being flexible and how gravity works. Einstein ignored that the aether (that he refuted) would make a comeback with different names in the future (dark matter, dark energy, quantum physics, etc.) "Aether" is like a placeholder, a wildcard.
There is no perfect explanation of our universe yet. We have approximations to the Truth that are useful in practice. We can make predictions with them. We are grateful for these teachings, but we know that they aren't perfect. They are part of a learning curve for Mankind. Just that.