Chitkara University, Punjab was earlier used to come under PTU and Chitkara University, Baddi is a private university from the very start. Now CU, Punjab has also become a private university and affiliation of PTU is gone off.
So now both the campus come under same management , authority and system. Likewise placements at both the campus are no different. Companies do not differentiate between the students of both campus. Ideally there is no difference between two campus in terms of education and opportunities.
But CU, Punjab is somehow better than CU, Baddi because it is a more vibrant campus, it is close to two major cities i.e. patiala and chandigarh and is on a CHD-Rajpura highway so better connectivity. I would advice to choose CU, Punjab if you have an option