Dear Aspirant,

Choice of brach depends upon your interest. If you like civil engineering and its aspects like building some infrastructure or if you are more into PWD jobs or you want to become a contractor then CIVIL engineering is good for you. There are, in fact, a lot of government jobs in CIVIL engineering. Chose CIVIL if you want government jobs in the future or if you want to open a construction company.

Production, on the other hand, is a rather new branch and is diversification of mechanical on one specific side. Production has a lot of jobs in private sectors in companies like HERO, ASHOK LEYLAND, etc. If you are interested in such things then go for production. Also, production has a lot of advantage in GATE - PSU jobs as competition is less than MECHANICAL. 

So if you want to go to the GATE side or private jobs then go for production.

Hope this helps.

Here are a few links for you:-

https://engineering.careers360.com/articles/psu-recruitment-through-gate

All the best. Thank You.