I am curious about this. Do they dispute the authenticity of NASA's footage? I never heard Sungenis mention  NASA before. I am not a strong flat earther nor round earther but I think NASA is fake due to water bubble footage.

As a mainstream geocentrist, there are a few things we dispute about NASA. First of all they are all heliocentrists so always have their rockets fired off a moving planet. Here is a question I would ask them:

How long does it take to get a craft to travel 34,000,000 miles to Mars? Well, Google tells us, at an average speed of around 28,000mph it takes 332 days. Now this same rocket left the Earth that itself was supposedly moving at 67,000mph, plus the normal 28,000mph generated by the power of the engines used to get the rocket out of the Earth’s atmosphere, shouldn’t the rocket head off to Mars at around 95.000mph getting there in one third the time it takes? We will leave NASA to answer that question.

Here is another dispute, their part in the 13.5 billion year old illusion:

Study of the CMB continued with the United States government’s agency the National Aeronautics and Space Administration (NASA). In June, 2001 a satellite WMAP (Wilkinson Microwave Anisotropy Probe) was launched from Cape Canaveral aboard a Delta rocket. Then there was the European Space Agency’s PLANCK mission launched in 2009 to map the CMB in greater detail. By 2013 the cosmologists reckoned the temperature variations of the cosmos were now known and from these had conjured up a history of the universe since the Big Bang 13.7 billion years ago. Throughout the world, in scientific institutions and universities, massive crowds turned out to hear of and see the ‘proofs’ that the CMB revealed. One of these of course, was the old Pythagorean heresy, the evolution of the stars from particles billions of years ago. Hundreds of websites were then created to show the world what their science had discovered. But the truth will out, as the Bible tells us:

‘Irrespective of how it originated, the most important fact about the CMR is that it represents unequivocal evidence of an absolute reference frame in the universe… I suggest [this] evidence which has received worldwide acclaim as confirmation of the Big Bang is really its death knell for, ironically, it is now clear that the existence of the CMR essentially falsifies the fundamental postulates of the theory of relativity [that there is no reference frame in the universe]… In simple terms, the theory of relativity has been falsified because a major prediction of the theory is now known to be contradicted by [another] unambiguous experimental result.’-Robert Gentry, Creation's Tiny Mystery. P.292.

Let us now address Robert Gentry’s 2004 quote above: ‘Irrespective of how it originated, the most important fact about the CMR is that it represents unequivocal evidence of an absolute reference frame in the universe.’ One of these reference frames has become known as the ‘Axis of Evil,’

‘The light is the CMB, and it provides some of the best knowledge we have about the structure, content, and history of the Universe. But it also contains a few mysteries: on very large scales, the cosmos seems to have a certain lopsidedness. That slight asymmetry is reflected in temperature fluctuations much larger than any galaxy, aligned on the sky in a pattern facetiously dubbed “the axis of evil.” The lopsidedness is real, but cosmologists are divided over whether it reveals anything meaningful about the fundamental laws of physics.’ --- Ars Technica website

During this time of discovery two informed geocentrists, Robert Sungenis and Richard Delano also took an interest in the Cosmic Microwave Background’s findings. But their interpretation of the data showed them that the Earth sits at the centre of the universe.

‘All in all, there are three basic alignments of the Earth with the universe:
(1) The CMB’s radiation’s dipole is aligned with the Earth’s equator.

(2) The cosmic microwave radiation’s quadrupole and octupole are aligned with the Earth‐Sun ecliptic.

(3) The distant quasars and radio galaxies are aligned with the Earth’s equator and the North Celestial Pole. Essentially, these three alignments provide the X, Y and Z coordinates to place Earth in the very centre of the known universe.’----   Robert Sungenis: website, Debunking David Palm, 2014.