Sorry I am not following what is happening.
You are trying to use Baron now?
If it is not about Counne anymore I recommend a separate topic.
Also, you should start by making sure the Baron executable works fine and then try to use from JuMP.
You should probably follow Baron installation manual for that. I have no experience at all with Baron.
You might be talking about this: https://github.com/joehuchette/BARON.jl
Note that the latest version of JuMP does no support this.
Finally, what kind of problem class do you want to solve?
The solvers you are looking usually do not scale much.