Hi duwwi,
Welcome mate, nice to see you here. 
In the wild, AUS do not have spawning mops, and will deposit their eggs in vegitation. So, yes they will adhere eggs to plants.
So, let's assume your AUS laid their eggs in a clump of java moss (which is probable) and 14-18 days passed and they hatched. The problem now will be that if the fry don't have enough places to hide, they might get eaten by their parents and if they won't it will still be difficult for them to find the adequate food in such large quarters.
The spawning mop, is a man made 'invention' to copy the vegitation matter found in the wild. So if the AUS are not given too many plants but instead a thick spawning mop, their instinct will tell them to lay their eggs in the mop (as a spawning medium), since the chances of the egg lasting till it hatches, not eaten, will be greater.
Your setup, the one described earlier (with the plants) is used by many killie keepers and is called a permanent setup. I use such method myself sometimes. You will avoid picking up the eggs and incubating them yourself. So it's more hassle free, however the no. of fry yielded will be much less than using the method described below.
Picking, Incubating and Hatching Non-Annuals eggs :
It all starts from the spawning mop (or plants - but much easier using a spawning mop). The spawning mop is collected and gently drained. In the meantime, an adequate container (in my case, like many others - I use butter cups) is filled with water from the tank (containing the mop) and a few drops of acriflavine are added to prevent the eggs from getting fungused. After the container is filled and acriflavine added, take the spawning mop in good light and inspect it carefully for any eggs. If eggs are seen, collect them with your hands (need to be very clean to avoid fungusing the eggs) and place them in the incubating container. Don't be afraid to handle the eggs, they will hard enough few hours after being laid. After all the mop will be inspected and eggs placed in the container, put the mop back in the tank.
Incubation time for AUS in water varies from 12-20 days, depending on many factors, mainly the temp. Place an airstone in the container, setting it at the lowest setting possible (just a bubble or two every second) to create a mild water movement, and wait for them to develop. As days passes by, you'll see the good fertilised eggs darken up, while the bad unfertilised eggs getting white and fungused. Remove these with an eye dropper, to avoid any contamination of fungus between the eggs.
Days passed, and your AUS fry started to hatch. Note that since the eggs were not laid in the same day, some will hatch before others. It's now time to start feeding .. you can use bbs straight away, AUS fry are large enough to eat it, or you can choose to start feeding microworms or banana worms instead. Both will give you a great end result.
Tired of writing 
If you'll be at Ta Sliema on Tuesday or Wednesday, I'll get you a spawning mop and tell you how to do one yourself. Will also explain to you the text written above more in detail .. cause I gave you just the taste of it 
You choose to keep very nice, interesting and addictive fish my friend. Killies are in a world of their own, nothing to do with the rest of tropical fish, their keeping and breeding is completely different ... lots of work involved .. but worth it.
P.S. : If you search the net on AUS, you'll most probably read somewhere that although they are considered as beggininer's fish by some, they are not so easy to get them laying eggs sometimes, until you get things right. This sp. gave a hard time to some and a good time to others.