Firmly move the wire brush across the moss back and forth to remove as much surface growth as possible.
Mix equal parts water with a brick cleaner concentrate. Pour the solution in a garden pump sprayer.
Connect the pump sprayer to a garden hose. If you are using a pump sprayer with its own water supply or pump system, do not connect it to the hose.
Spray the water/concentrate solution back and forth over the entire retaining brick wall. Go over the surface multiple times, saturating the moss and brick surfaces.
Allow the solution to sit on the surface for a few minutes. Use a regular garden hose to rinse off the solution and remaining moss. Use the wire brush to wipe any remaining moss bits off the wall. Repeat these steps as needed.