Help! Skyrim missing from library

[Takzzg]

i've moved Skyrim from my hard drive to my solid state disk so it would run faster. I'm using Mod Organizer with a bunch of mods, and the game runs perfectly, except for two things:

• first (as the title says) the game is nowhere to be found on my library. I mean, if I go to all my games it's there, but it shows up as if I haven't installed it. And of course in the installed games section there's nothing. I moved it using Steam (creating a new Steam folder in the new disk and moving it), but since i've been launching it from MO i cant know for sure how long it was missing
  
  
• and in the other hand, when i'm playing, the cooldown for the shouts is bugged. when I fast travel to some location the bug is fixed, and works as it should. but then i go back to where i was before and use it once, and the bug reappears. the problem is that the cooldown bar moves reaaaaaaaly slow, and once it reaches 3/4, it just resets.

please i've been looking around on the internet but havent been able to find a solution to either of this problems. I've read that verifying the files may fix the second issue, but since the game is not on the library I cant even do that.

anything helps, ty and sorry for my bad gramar (?

EDIT: I fixed the first issue redownloading Skyrim to the same folder it was installed, which had no effect on how the mods worked (that was my biggest concern), it just read the files and realized the game was already there :D

[The Hairy Dadder]

With mine, it was because I had to re-state the destination drive. (Settings, downloads, steam library folder). Does that help at all?