The word caged generally describes women's footwear with uppers that feature an arrangement of crisscrossing straps that form a cage-like pattern.
About T Strap Sandals:
T strap sandals are sandals characterized by a "T" formation by the straps on the top of the sandals. T strap sandals include a strap which crosses the top of the toes horizontally, while another strap cuts through the middle of the foot vertically.