What coolant do I put in the reservoir for a Honda Shadow Aero 2006?

If the problem start after putting Vance & Hines Pipes, then try to sync the carbs, if not possible (meaning turning the sync screw all the way and cant sync them), reJet the carbs with 1up, slow and main Jet.

Replace the broken hose and put it in the same way as in the old ones.
Refill your coolant reservoir until full with proper coolant then turn on your bike, let it idle until coolant overflows from reservoir. When that happens turn off the bikle, fop up the coolant reservoir and put the cap on. You're now good to use it. Tomorrow, when engine still cold, check your reservoir and top up again if required.
Good enough?

just start the bike up and shut the petcock off and let it run till it dies carbs will be clean no gas

check fuel level, u may need to check the flow of petrol to it,,Also if that does not solve you may need to service the carb and check fuel filter,air filter etc...