I'm not getting that at all. The age of the universe is greater than the age of the luminous objects within it. So the oldest and most distant of luminous objects have had, as it were, all the time in the world to send their light to us. (The only exception I can think of would be a recently formed objects at a great distance.)
The time available for the photons to get here can't exceed the age of the Universe, so if an object is Age of the Universe + 10 lightyears away, assuming we have a big enough telescope, we wouldn't even be able to detect it for another ten years.
But if the distance is so far away that the recessional velocity due to the expansion of space is greater than "c", we can't see it at all. It is outside our "light horizon" or observeable Universe. And it can't see us, for exactly the same reason.