To obtain the Abandoned Supplies standard quest in Xenoblade Chronicles 3 Future Redeemed, speak with Eow in Colony 9 during Chapter 4. For this quest, you’ll need to travel to the Abandoned Depot which is just south of Pilgrims’ Rest Remains. To reach this area, fast travel to the Three-Pillar Transept Ruins landmark in Aurora Shelf then head west, hugging the cliffs. You’ll come to a gap in the cliffs where you’ll find a ladder.
Take it down then head inside the cave inhibited by 4 Omeg Ropls and an Alif Aspar. Once you take them out, return to Colony 9’s Central Plaza and approach the Supply Office to complete the quest. As a reward, you’ll receive 2700 EXP, 2110 Gold, Crystal Earrings and Scout’s Kneeguard.