This might be "off topic" answer, but you have supplied a great photo for me to pass along some rebuilding information.
Sometimes you might have a rear wheel with a Bendix Multi Speed hub, and NOT have all of the parts to make it shift. Basically you need a Bendix trigger lever handle, a cable, and a "toggle looking" part that screws onto the right side of the rear axle and pushes the long screw inside the axle to make it shift from low gear into high gear.
Without anything connected to the axle it will stay in low gear. You have two options. If you have the axle toggle part you can gerry rig it to shift the hub into high gear by wiring the toggle. A better option is to remove the sun gear from the axle. The gear is "offset" and can be reversed. Just use a small flat blade screw driver and unscrew the long screw inside the axle. Reverse the gear, and reassemble the hub. It's maybe a five minute job after you figure it out. The hub will be in "direct drive" or "high gear" and operate just like a normal Bendix coaster brake.
It was a lot easier back when parts were cheap and also plentiful.
John