Anyone who has completed his/her graduation in any stream can get admission to DSE for MA in Economics. The only eligibility criteria are at least 60% marks in the aggregate ( in the graduation program)
Earlier there was an additional requirement that the aspirant must have studied at least one Maths paper during their graduation. But the recent criteria do not even require that. However, DSE focuses a lot on Math, and having an Engineering background will definitely give you an edge over other candidates.
Recently DSE has witnessed many non-economic students willing to shift their careers in economics and want to pursue Master's in Economics. This shift among students stems from the increasing demand for economists globally in different domains of jobs like Analyst, Economist, Researcher, Data Scientist, etc.
As an MA in Economics aspirant, one thing to keep in mind is that although the entrance exam is easy, the program is quite rigorous and can be extremely stressful at times. So only a true Economics fan should go for it.