Good Day @Unfrosted,
Based on the screenshots you provided, it appears that the quest is still at the stage where the Adamant Orb and Lustrous Orb must be obtained.
The Adamant Orb can appear in one of three locations:
• Two possible spots in Eterna Forest Cave, which can be accessed from Route 207 (requires Rock Smash or a Pickaxe).
• The third possible location is Old Chateau 2F, in the fifth room. Old Chateau is located in the north-east section of Eterna Forest.
The Lustrous Orb can be found in Wayward Cave on Route 206. It may appear either in the main cave or in the Secret Cave area, which is accessed through a hidden entrance underneath the Cycling Road bridge.
Both of these items will appear as Pokeball pickups in the overworld. so make sure to interact with them if you encounter them while exploring the areas.
Since some parts of the quest involve randomized spawn locations for each player, I recommend double-checking the locations listed in the PRO Wiki guide:
Lake Trio Quest Guide
I hope this helps resolve your issue and look forward to hearing about you completing the quest.
Regards,
Beacon