Pouring mana into the core was a slow process as well, but one that was many times easier compared to the mixing of auras and getting the core to recognize you as a friendly being.
There was no more need for Reign and Aethion to control the aura and not let it mix with the core's aura for long, they just had to keep it stable so that the mana could travel through it and go inside the core, slowly but surely filling it up, replacing the original mana that was inside of it.
Part of the mana that Reign was pouring inside the core was being expelled out of the core, adding to the aura around it in the form of gas, but it was just a small portion, nothing too big.