"In layman's terms, for [people who] aren't as scientifically minded as us."
Quite...
I think your last question shows a misunderstanding of what's going on at the LHC and, in particular, how experiments are conducted. There is, for example, no "Dark Matter storage room" where the LHC hides the DM and looks at it periodically, and indeed this means that in a Layman's sense there's not really a "Dark Matter experiment" going on either. By this I mean that no-one stands around in a high-school style lab looking at bubbling beakers and what not.
The practical side of the experiment that goes on is in the end the same for everything we're looking at: take two bunches of particles, zoom them really fast around a circle, and smash them together. Then you look at the stuff that gets spat out. There are many thousands of possible outcomes, and what usually happens is that a lot of them happen all at once.
The experiment part of it is that each team then will look for a specific outcome. This could be, say, proton-like objects called Hadrons, or muons, or a whole list of other things. It also includes potentially Dark Matter, but the key thing is that a) any experiment that would report the discovery of Dark Matter would have done so by not seeing it (but inferring its presence from missing energy in a particular process), and b) all searches for Dark Matter, or anything else exotic, have come up negative so far. This is a far cry I think from the picture conjured up when you talk about the "experiments about dark matter/energy", since those experiments are going on at the same time as and based on the same data as every other experiment, and it's not really a separate thing at all.
The results of these searches are freely available on cern.ch or the arXiv. The raw data is not published, indeed in the process a lot of it is deleted before anyone sets eyes on it, but this is entirely to be expected and is a reflection of the massive amount of computing needed to even begin to look at the results of such collisions. It's an experimental, engineering and computing feat beyond anything we've accomplished so far. The methods behind the analysis are often fairly clearly laid out too; although good luck to anyone who wants to try these experiments at home.
There is nothing going on at the LHC that is mysterious beyond the general problem with understanding modern Particle Physics. It's bloody complicated, but it's not really a secret as to how it's done or what's being searched for.