Any 130 or 140 grain bullet out of a .270 will kill Bullwinkle with no fuss.
I've seen a 130gr Winchester Silvertip (the old one) disintegrate in impact with a 1 1/2 yo whitetail ..... left a large shallow wound. It killed him, but a similar wound on a moose? I would not bet on it...... so "any 130 (or 140) bullet" wouldn't fly with me.
I'd bet on a 150 gr bonded bullet of some sort. Moose are very large (large boiler room)and the ranges likely to be very short considering the .270 WIN's reach..... 3moa would be adequate, but I'd go with a bonded bullet if it shot better.