Dear Aspirant, the production engineers have jobs in various sectors like Pharmaceuticals, Research Labs, Manufacturing sector, Communication sector, Travel, Sports, Health, and Information Technology etc. The top recruiters in this sector are

Satyam Ventures

NTPC (National Thermal Power Corporation)

Hyundai

ONGC (Oil and Natural Gas Corporation)

L & T

SAIL (Steel Authority of India Limited)

Mahindra & Mahindra

Geometric

Ashok Leyland

Suzuki

Tata power

Godrej

Bharath Heavy Electrical Limited (BHEL)

Indian Oil Corporation Limited (IOCL)

Hindustan Petroleum Limited

National Thermal Power Corporation

Aditya Birla

Larsen & Toubro

Indraprastha Gas Limited

Cairn India

Reliance Industries

Sterlite Industries.

These semi government and non government organisations release their vacancy in time to time. Some of them also provide internships and then hire the candidate on performance basis. So you can try in them.