You've been confused by a subtle error that seems always to be made when trying to express the speed of light limitation of Relativity in words.
What's fundamental is something called the Lorentz Symmetry AKA Lorentz Invariance which is the basis of Relativity. This symmetry is a local symmetry and it's a strong symmetry of of the physical universe. Basically, what it says is that the laws of physics are independent of velocity. A consequence of this symmetry is that two objects can't pass each other at a speed greater than that of light. (The reason why is not especially difficult, but best explained using mathematics rather than words.)
General Relativity is not a local theory -- it's a theory of the structure of spacetime -- but its local structure is that of Special Relativity, and hence it has Lorentz symmetry. One of the surprising (utterly surprising -- Einstein himself didn't believe it for many years) consequences of General Relativity is that spacetime isn't stable, but it must either expand or contract. This expansion is not the galaxies flying further and further into the void like the bits of an exploded hand grenade, but is spacetime itself expanding everywhere (there is no center of expansion) and the galaxies everywhere more-or-less sorta sitting still in the expanding spacetime and being carried along with it.
If you pick two points which are far enough apart, they can be receding from each other at a speed greater than that of light -- or, alternatively and just as correctly -- more than 300,000 km of new space can be created between them each second. Because nothing is moving past each other at FTL speeds, local Lorentz symmetry is preserved and Einstein is happy and his equations are satisfied and all's well with the universe.
Note that everything I've said is wrong, but I hope it's not misleadingly wrong.
You really need to do the math to see what's actually happening.
But the upshot is that we can't fly to the Moon (or Mars or Alpha Centauri or wherever) and come back at a speed faster than light, but many distant galaxies -- which we will never see or hear from again -- have just passed c moving away from us, and more do so every year.