The 'push' cable (actually a second pull cable) is a redundant safety feature ensuring you can close the throttle if the main cable breaks. You don't, strictly speaking, HAVE to have one.
That said, if you're unable to get the throttle cables hooked up than there's a problem somewhere. Check your routing, that can cause this issue. Some workshop manuals have line drawings showing the cable routing.
mystic_1
yes agreed with that. You should be able to hook up the A cable only and everything should work fine. Then hook up the B cable for safety. However, removing the B cable should not "fix" a problem. The A cable should work properly with or without the B cable.
just changing the bars should not keep you from reconnecting the cables properly. You'll have a longer loop of unecesary cable, just be sure its free.
Do not short cut this, if there was nothing wrong before the bar change, there should be nothing wrong after, just extra cable. If its not working smoothly, there is a problem.
Could be if the inside of the A cable is worn (where you can't see it) and the big loop you are now putting in it is now exascerbating the wear, you may need a new cable. If so, no shortcut, even lube won't fix an internally worn cable. Such wear may not have been so noticeable when the cable was straighter.