In India, admission processes for direct second-year engineering (Lateral Entry) often involve Centralized Admission Processes (CAP) conducted by states or institutions. Regarding your eligibility with both Christian minority and Open EWS (Economically Weaker Section) certificates:

1. Christian Minority : Many states provide reservations or benefits for minority communities in educational admissions. You would typically need a valid minority certificate issued by the appropriate authority.

2. Open EWS : This category provides benefits to candidates from economically weaker sections across all communities, irrespective of religion.

To maximize your chances, check the specific rules of the state or institution conducting the CAP rounds. Some states may allow the combined benefits of both categories, while others may prioritize one over the other based on their admission policies and quota distributions.