Platform:
Windows

ISP:
Shentel

Type of Internet Connection:
Cable

Internet Connection Speed:
150Mb

Date & Time:
~9PM EST May 12th 2020

Frequency:
Happened once, can't retry since it's a one-time reward.

Character Name:
Isiolia

Race:
Mithra

World:
Leviathan

Main Job:
99 WHM

Support Job:
SCH

Area and Coordinates:
Windurst Woods J-10

Party or Solo:
Party of 3

NPC Name:
AMAN Validator

Monster Name:
none

Steps:
Obtained Deed Token reward. Redeemed it for 109 Vitiation set.

Items can be reforged with no issue, and the augment is present on the resulting +1. I reforged the hands to 119, and then turned in the hat before I noticed anything odd.

When I tried to store the remaining 109 items on the Porter Moogle in the Mog Garden, he wouldn't accept them. That's when I noticed that the augment was not present, which is (I assume) the reason for this. Other items stored on that slip, when retrieved, are augmented.