Like the title states, I would like to get Kyogre on my copy of Omega Ruby, but I don't know how.
How do I catch or otherwise get Kyogre in Omega Ruby?
The only way to obtain Kyogre in Omega Ruby is through trading, or through a distribution event.
You can use either Pokemon Bank or you can get a copy of Alpha and play all the way to Kyogre and transfer Kyogre all the way to Omega Ruby but I really doubt that you would really wanna replay the whole game again for a Kyogre.