It is determined by the degree you intend to pursue and your objectives in that regard.
Both colleges are well-known in their respective fields, and your choice will be depending on your requirements. Though, if you want to acquire a degree as a regular student, I would recommend Lucknow University, and if you want to get a correspondence degree, I would recommend CSJM University.
Lucknow University has made 75 percent attendance mandatory for UG degrees, which is a wonderful step, but it has also proven to be a bane for working students. So, if you are working, I recommend Kanpur University, otherwise, go for Lucknow University. It also offers decent placement opportunities. The average CTC offered at the institute is 4 LPA.
Lucknow University, while not the finest, but definitely superior to CSJM University.