When Toph is being dragged to the prison, her shoes have soles, but once inside the prison cell, the soles are gone (as they should be).
After the Toph and Katara argument about Katara's "motherly" attitude, all four are clearly shown walking along a street in the town. But in the next shot, when Toph points out where they can gamble for money, Katara is gone and remains absent for the rest of the scene.
When Katara confronts Toph about the wanted poster, she's barefoot, but moments later, in a more distant shot, she's wearing sandals.
Toph should be able to break out of the wooden cell by bending :
- Wood, as the Earthbender beetle merchants from "Avatar: The Last Airbender" (2005) {Appa's Lost Days (#2.16)} bent their wooden restraints.
- Gold, apparently making up both girl's clothing accessories.