Hi Shipra

CFTIs or GFTIs are Government Funded Technical Institutes. Yes, they do offer engineering programmes. For admission to GFTIs, candidates need to clear JEE Main entrance exam and attend the common counselling procedure of JoSAA. 

When it comes to placements, all institutes are similar as same companies visit them. Moreover, it has not much to do with institutes during placements, it's the candidates' performance during his or her 4 years tenure in the college, his or her performance in the interview, the company coming for placement etc. 

The experts believe that the institute having maximum candidates pursuing PhD has the best faculty. So, I am sharing some links with you where you can check the ratings of the institutes as done by Careers360 with certain parameters including PhD candidates factor.

Here you go :

https://engineering.careers360.com/colleges/ranking

The list of top GFTIs can be checked from the link given below :

https://engineering.careers360.com/articles/list-of-government-funded-technical-institutes-gftis

Hope this information helps you.

All the best !