That screenshot you posted, what folder is that? The mods should go in one of 2 folders, either My documents/Electronic Arts/The Sims 3/Mods, or My documents/Electronic Arts/The Sims 3/Downloads. If you put the mod in there, it has to say (modname).package, or (modname).sims3pack. If it says (modname).zip or has just (modname) with no dot after it (like the file "leg_shine" in your screenshot). You have to extract files that are "zipped" or "RAR". you can see where it says RAR-fil and PACKAGE-fil?? If it says PACKAGE, put it in your My documents/Electronic Arts/The Sims 3/Mods/Packages folder. If it says BRUGERMATERIALE til... then it's a sims3pack and it goes in the My documents/Electronic Arts/The Sims 3/Downloads folder.
To extract files, you need to have a programme like Winrar or something, then you can just right-click on the mod, click "extract here" and then a PACKAGE or SIMS3PACK should appear, and you can place it in the right folder.
If you do not have a MODS folder with PACKAGES and OVERRIDES inside, as well as Resource CFG, I will help you get them