There is some confusion it seems regarding what Analog Lab mode is designed to do, because you are probably the third person to ask something like this within the last two months. I believe mostly it revolves around a basic misunderstanding of MIDI and how it works.
Your controller can only map its midi controls (buttons/sliders) to one 'device' at once. In this instance, the device in question is a virtual one: a DAW or Analog Lab. If you close-down Logic, open the Analog Lab standalone app and set your controller to Analog Lab mode, its buttons/sliders should automatically map to controls in Analog Lab. But that won't necessarily happen if you open Analog Lab as a plugin inside a DAW: the mapping arrangement between your DAW and your controller will take hierarchical superiority, no matter what mode you select on the controller. When you open Analog Lab as a plugin in your DAW, it's basically a 'slave', doing whatever your DAW tells it to. Some basic functions from your controller will be passed through to it via your DAW (keypresses, sustain pedal, expression), but mostly, the data from the buttons/sliders will be intercepted by your DAW, which will either ignore them or apply them to its own controls. This is 100% normal behaviour.
Let me know if I have completely misunderstood the problem.