After you deliver the forgotten earring to Teteroon, he asks you to help brew a gift for Buscarron.
This quest is available if you have completed the quest Never Forget.
Starting the Quest
Talk to Teteroon in the western half of Upper La Noscea to begin the quest.
Collect Coeurl Pup Whiskers
Go northwest to the location marked on the map. There will be quest icons in the minimap that show the locations of coeurl pups. Slay three of them to get three coeurl pup whiskers.
Deliver the Coeurl Pup Whiskers
Go southeast to Teteroon and hand over the whiskers.
Next Main Scenario Quest
After you complete the quest, talk to Teteroon to accept the next quest: Like Fine Wine.