Hello Aspirant, 

Production engineering is a mixture of manufacturing technology, engineering sciences with management science.

Automobile engineering is a branch of vehicle engineering containing elements of electrical, mechanical, software engineering as well.

Both are good at it's own place but you need to decide in which you are interested and what you have your plans for your future. If you are interested in designing then you can have a bright future although not in India but other countries. But if you are interested R and D then you might go for production as there you might get jobs easily especially in India.

I would also suggest you to get complete knowledge by comparing both the colleges on the link given below:

https://www.careers360.com/compare-colleges

Feel free to ask your doubts. 

Good luck!!!