In one sentence, how loud it sounds and how much amplifier power you need.
The first figure is called the Sensitivity and means that if you feed 1 Watt of power to the speaker and measure the loudness usually called Sound Pressure Level (SPL) and measured in Sound Decibles (dB), under perfect conditions (no reflections) or in an anechoic room (the walls of which reflect sound from the speaker in a way that no reflections go to the mike), 1 meter away from the speaker you will receive 93dB SPL in case of the Axioms and 88dB SPL in case of the Onix. Basically, the Axioms play louder than the Onix. All things being equal the higher the sensitivity the better. But nothing in life is free, higher sensitivity comes at the expence of accuracy of overall response, extension of bass response, and physical size.
The 8 ohm or 6 ohm rating is the Impedence (electrical load) that the speaker represents when connected to an amplifier. Roughly speaking, an 8 ohm speaker will draw half the current compared to a 4 ohm speaker. The lower a speaker's impedance drops, the more important it is for the amplifier to be able to supply higher current and remain stable. This means bigger elements like torroids, capacitors, high current transistors etc are needed in the amplifier, better circuitry etc and therefore cost increases. Generally you should have no problem if you mix 8 ohm and 6 ohm speakers and just leave the amplifiers speaker setting at 8 ohms (never use the 6 ohm setting on the amplifier even if you have 6 ohm speakers anyway since current limiting circuitry kick in and may effect sound quality). But connecting a 4 ohm speaker to an amplifier designed for 8 or 6 ohm speakers will cause it to overload and the protection circuit will disconnect the speaker from the circuit or whorse you might blow something and cause unrepairable damage.
The combination of the two figures can be interpreted as follows, the Axioms sound louder than the Rockets when connected to the same amplifier keeping volume knob in same position, but the Onyx can be driven as loud as the Axioms with a less powerful amplifier.
Hope this helps out.
Cheers.