After you pass through Area One of East Province, with an optional stop at the Fire Crew Base, you move on to East Province (Area Two).
Visit the Pokémon Center
After you cross the bridge into East Province (Area Two), be sure to heal up at the Pokémon Center to add it to your Flying Taxi destinations.
Next to the tree beside the Pokémon Center, you find a TM138 Psychic Terrain.
As you go east along the path, you find a slope down into the water, which is across from a slope on the other side. You can use Koraidon/Miraidon to jump over the water there, to reach the northern part of this area. If you don't want to explore the northern area, skip to Southern East Province (Area Two).
Northern East Province (Area Two)
In the ruins in this area, there are some Gimmighouls that you can talk to, to get Gimmighoul coins.
There is also a TM091 Toxic Spikes in the ruins.
North of the ruins, you can talk to a trainer to battle Ramon the Student, who has a level 23 Rufflet and a level 23 Drednaw. You get 1656 Pokédollars for winning.
East of that, you can talk to a trainer to battle Rosario the Student, who has a level 24 Oricorio, and a level 24 Houndoom. You get 1728 Pokédollars for winning.
Northeast of that, you can find a TM035 Mud Shot.
When you are done exploring, you can use the Map App to go back to the East Province (Area Two) Pokémon Center.
Southern East Province (Area Two)
If you go east from the East Province (Area Two) Pokémon Center, past the slope down into the river, you can talk to a trainer to battle Beatriz the Student, who has a level 20 Alomomola. You get 1040 Pokédollars for winning.
Farther along the path, you can talk to a trainer to battle Cabbie Omar, who has a level 20 Varoom. You get 1840 Pokédollars for winning.
Farther on the path, you can talk to a trainer to battle Backpacker Arturo, who has a level 21 Sandile. You get 1260 Pokédollars for winning.
To the east, near a slope down into the southern river, you can talk to a trainer to battle Lina the Student, who has a level 21 Cubchoo. You get 672 Pokédollars for winning.
In the eastern part of the area, on the ledge that overlooks the eastern bridge over the river, you find a TM075 Light Screen.