This is the exact quote:
"That is the power they once held, isn't it? They moved and shaped galaxies, they created us!"
Forerunners were the ones who moved stuff around galaxies; you'd have to be pretty damn disingenuous to think this quote simply meant "stuff inside of galaxies." And also lacking in very basic reading comprehension skills because the quote refers to nothing of the sort. They are talking about galaxies themselves.
English
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I can take a foam ball, rotate it, and squish it a bit, and i have both moved and shaped it. Your own reading comprehension seems a bit narrow
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move [ mo͞ov ] verb verb: move · third person present: moves · past tense: moved · past participle: moved [b]go in a specified direction or manner; change position:[/b] "she stood up and moved to the door" So the foam ball represents what exactly? The galaxy? Right, you are shaping and moving it, that's what the Precursors did, they changed the shape of galaxies, could bring them together and create new ones(consequentially) as well as moved them. Didact states "shaped [u]and[/u] moved galaxies," in addition to shaping them, therefore they could move them throughout the universe, which is what the very definition of "moving" entails, IE the changing of one position to another. The Occam's Razor principle dictates we must assume the most obvious answer and the obvious answer based on Didact's statement, shaping [u]and[/u] moving, means they moved them throughout the universe. We already know that the Forerunners could "shape" galaxies as you had described (this is referenced in Cryptum, wherein Bornstellar reveals the Forerunners had discussed shifting the axis of the Milky Way itself), so why would this be seen as impressive to the Didact? Why would it be considered such a lofty, god-like feat of engineering if it was as you described? The only explanation, to an unbiased reader that is anyway, is that the Precursors moved galaxies throughout the universe; I do believe this is even alluded to in the Halo 3 Iris campaign, where the movement of galaxies is said to have a purpose too it. "Shape" itself also alludes to creating them, in the same way they "gave shape to life" they gave shape to galaxies for the life they created to live in.