Hello anchan,
Omega/Hoyt-Bedford speakers and Omega/Hoyt-Bedford subs are made to go with each other from the ground up and once set up properly are not even noticed in the system unless one turns the sub off while the music is playing, then some of the bottom end goes missing.
Although Omega/HB subs will work well for home theatre, they really shine with music, due (among other things) to their speed - enabling them to keep up with the fastest of speakers.
Will one Omega/HB sub disappear in a system? Absolutely, if set up somewhere between the two main speakers. Will two subs improve the image over one sub? Absolutely, if those subs are set up right at the main speakers or under them, set up the same for right and left sides.
Due to their ability to disappear in the system, Omega/HB subs will mate well with a huge variety of speakers.
As far as integrating other brands of subs with Omega speakers, that sub will need to be:
1) Fast, so it will likely need to be a sealed cabinet.
2) Use no more than an 8" or 10" lightweight driver.
3) Have a very solid, non resinating cabinet.
4) Have a plate amp that is designed (or modified) to run with it's cabinet/driver combination.
Omega and Hoyt-Bedford subs are proprietary from the ground up and do not use off the shelf parts.
If you have Omega speakers, it only makes sense to to put an Omega or HB sub with them.