Place all the ingredients except lime juice in a slow cooker. Turn on high until liquid starts to simmer. Turn to low and cook for 8 hours. Meat should be falling apart when done.
Remove pork from liquid and set aside.
Skim the fat from the liquid. Place liquid in a pot and reduce by half. Remove the bay leaf, thyme and sage stems. Add lime juice to the liquid and blend in a blender until smooth.
Shred pork and add enough sauce to coat the pork. Season with salt if needed. Reserve any extra sauce for another use.