This is entirely a matter of your choice or preference. Both these courses have a very different offering from each other in terms of learning. One is a double bachelor (BA LLB) and the other is a Bachelor's + Master’s degree (BBA-MBA). You can choose one or the other on the basis of your interest. If you are someone who wants to pursue a career in law and be a lawyer, you should pick the course from NLSIU, and if the Management and business side of things is where your interests lie, the clear choice is IIM Indore.
If placements are what concern you, IIM Indore is the winner as compared to NLSIU. IIM Indore’s Integrated Programme in Management has an average pay package of about 20 lakhs per annum which is way more than NLSIU’s median at 12 lakhs per annum for a BA LLB graduate. Along with this, IIM Indore also offers opportunities to be placed abroad, and those who get placed abroad can get a package up to 90 LPA, on the other hand, NLSIU doesn’t have much scope for placements abroad and the few that take place don’t garner more than a 20L PA package.