the orange thing is a starter, which preheats the filimants prior to turning on the bulb.
the white and silver wire coming from each "end" of the bulb (imagine a long t4 bulb folded up) are your terminals.
connect each pair of wires together, and then each pair to the the hot and neutral side of a comprable wattage ballast.
with that starter in place, you will not be able to use the bulb with a normal ballast, it will need to be removed.
easiest way to do it and still maintain the nice mogul socket connection would be, take each yellow wire, and solder it together with a white/silver pair. then glue everything back together, hook up the ballast and you're all set.