As you said your cousin is NRI person and want to get personal loan from Axis Bank, in India, so here I am providing require info :

Documents Required for NRI Personal Loan Documents
Salaried Individuals
Identity proof
Pan Card/Passport/Election Card/Photo Identity issued by Government, Defence Services, Public Sector undertaking/Driving Licence/Photo Credit Card/Employees ID Card
Income proof
Latest salary slip showing all deductions or Form 16 along with current dated salary certificate or ITR (last 2 years)
Residence proof
Bank Account Statement/ Latest Electricity Bill/ Latest Telephone Bill/ Latest Credit Card Bill/ Employers letter certifying current mailing address/Passport(Valid)- provided the passport address is present address mentioned in application form / Existing Registered House Lease.
Valid Passport /Pan Card / Processing fee cheque / Banker's verification letter
Signature Verification Valid Passport /Pan Card/ Processing Fee Cheque/ Banker?s Verification Letter
Proof of telephone
Latest bill of landline or mobile or WLL stating name of borrower or address of borrower
Guarantor
Optional

Personal loan Interest Rates & Charges
Rate of Interest
15.00% to 24.00%
Loan Processing Charges
1.50% to 2.00% + Service Tax as applicable
Cheque Bounce Charges
Rs. 500 per cheque bounce + Service Tax as applicable
Cheque/Instrument Swap charges
Rs.500 per instance + Service Tax as applicable
Foreclosure Charges
Nil
Default Interest Rate
@24.00% per annum i.e 2% per month on the overdue installment
Duplicate Statement Issuance Charges
Rs 250 per instance + Service Tax as applicable
Duplicate Amortization Schedule Issuance Charges
Rs 250 per instance + Service Tax as applicable
Issuance Charges for Photocopy of Loan Agreement/Documents
Rs 250 per instance + Service Tax as applicable