Hello aspirant,
As per my knowledge there is nothing called ba llb general.
Either it is BA LLB, or BA LLB Honors.
Maybe what you have known is actually a differentiation between ba llb and ba llb honors.
This is the same case which happens in B.Sc. People take bsc regular or normal bsc as bsc general when they compare it with any specialised course in bsc .
All the best.