yea that silver pipe bent downward thats your FI return line, that needs to be installed, may as well get the vent lines too and drop them under the right side rear set, there should be a collector that holds the lines bolted to the underside of the frame spar, threads pointing at the ground, a lil loop bolts on there..
you can order new lines off ronayers.com, even fuel lines, worth it, you must use chemical resistant line for that FI return line.. should use chemical resistant lines for the overflow as well, vacuum line will suffice for the main tank vent line..
seems you need to chase down the service manual, and and look for any hose diagrams on the bike, if its E33 or cali emission there should be a canister hose schematic stuck to the inside of the undertail inside the trunk on the right side there where it forms a square box..
sort what type of bike it is, then sort what you have on it that's original, pair valve, charcoal canister so forth.. there are delete procedures for both but you want to do them right..
a quick glance at the manual will show you what those are, pair valve and charcoal canister.. if you have them or partial we can go over how to delete them proper, or rebuild them to stock form?
once this is done you can then figure out what's what with lines and what not.. i think glancing over the emissions components as well will clear a lot up..
you will have to use your Vin# to determine if its cali or not.. go from there and sort it out