Adding to the points Rang Dipkin made.
Divine Will adds +20% bonus to the attempts to inherit Glare type augments. Divine Order adds +30%. Divine Will and Order are only added to weapons, not units.
In ultra hard difficulty, enemies can have special photoner corrupted cores. These augments comes from enemies with such cores.
Photoner corrupted core - white. Enemies with this core have a chance to drop weapons with Divine Will.
Photoner corrupted core - black. Enemies with this core have a chance to drop weapons with Divine Order. This black core is extremely rare compared to the white one.
So, in the ultra hard difficulty of the current Christmas UQ, we have a good chance to find these Divine augments. I'm not sure about the Armada UQ (UH).
Risk exploration quests are also ultra hard, so we have a chance to find Divine augments in these quests too. Still please not forget that the easiest place to find these is from personal shops.
On Soul Catalyst, Board series units (Back / Wella Board, Arms / Hanging Board and Legs / Tag Board) usually drops with Soul Catalyst. According to NA Arks Visiphone, these dropped from a limited time quest, Breakthrough Training: Ep1 - 4 (XH). As for now, Bewitched Wood Exploration (XH) has a chance to drop these units (I'm not saying that chance is a practical one).
Lastly, it's going off-topic, but these photoner corrupted cores are not the weak points of the enemies, unlike usual corrupted cores. We have to target the correct weak spots of the enemies, not these photoner corrupted cores. I have been hitting these cores hard until I remembered photoner cores are not weak points while checking out for this post!