Let's analyze each statement of the question carefully and assess whether they are correct:

1. Statement 1: "ELI Scheme has an outlay of about ₹ 1 lakh crore."
   • The Employment Linked Incentive (ELI) Scheme is a government initiative aimed at boosting employment by providing incentives to organizations that create new jobs. The financial outlay refers to the allocated budget or monetary resources designated for implementing the scheme.
   • This statement is correct as the Government of India has allocated approximately ₹ 1 lakh crore for the ELI Scheme to incentivize job creation.
2. Statement 2: "Establishments registered with the EPFO are required to hire at least two additional employees (with fewer than 50 employees) or five additional employees (with 50 or more employees), on a sustained basis for at least six months, to avail benefits under the ELI Scheme."
   • The Employees' Provident Fund Organization (EPFO) is responsible for overseeing and managing employee provident funds and related schemes in India.
   • This statement highlights a specific condition for establishments registered with EPFO to gain incentives under the ELI Scheme. The purpose is to ensure that organizations contribute to job creation by hiring a designated number of new employees and maintaining them for a minimum period of six months.
   • This statement is accurate as per the provisions of the ELI Scheme, which mandates such conditions to encourage continuous employment generation.

Conclusion: Based on the analysis of both statements and aligning them with the scheme provisions, both statements 1 and 2 are correct.

Therefore, the correct answer is:

Both 1 and 2