The Leaf Stone Cup Begins! (Venusaur)--> Leaf Stone
The Fire Stone Cup Begins! (Charizard) --> Fire Stone
The Water Stone Cup Begins! (Blastoise) --> Water Stone
Follow Those Fleeing Goals! (Stunfisk) --> Thunder Stone
Watch Out! That's One Tricky Second Half! (Aegislash) --> Dusk Stone
An Opening of Lightning-Quick Attacks! (Roserade) --> Shiny Stone
Those Long Shots Are No Long Shot! (Gallade) -- > Dawn Stone
Drag Down Hydreigon! (Deino, Zweilous, Hydreigon) --> Sun Stone, Moon Stone
The Battle for the Best! X and AS only (Larvitar, Pupitar, Tyranitar, Mega Tyranitar) --> Leaf Stone, Water Stone, Thunder Stone, Fire Stone
The Battle for the Best! Y and OR Only (Aron, Lairon, Aggron, Mega Aggron) --> Leaf Stone, Water Stone, Thunder Stone, Fire Stone
Let me know if you'd prefer different formatting of the information.
Source