You have made sure that you have your foot on the brake pedal while you're trying to start it haven't you?? If for whatever reason it didn't get to neutral when you shut it down or the clutch isn't feeling up to letting you start for some reason, then having the brake pedal pressed becomes an essential thing!!
With that in mind & practice, if you get to the 'press mode button' screen so you push the mode button, get the normal dash screen & lights, but then get nothing when you hit the starter button, the next thing to check is the Kill switch - is it in the Run position or the Kill position? Regardless, operate it a couple of times anyway, try it in both positions, flick it back & forth a bit; I have had one (not on a Spyder tho) that somehow got gunk inside it & the first flick still didn't make contact, it took 2 or 3 flicks for it to click!!
Still no go, then check the battery condition, cables, & connections, actually take the connections off & make sure the posts & seats are clean, same deal with cleaning the cable ends, BOTH ends, then connect them back up firmly - they've gotta be clean & tight.
No go there, stick the battery on a boost unit or try jump starting it. If it still doesn't start after all that, you really start getting into the area of visiting a Dealer or knowledgeable Spyder/motorcycle mechanic - sorry!
Good Luck! :thumbup: