See this is a very hard comparison. Both of this universities are infrastructurally very good, they have wide curriculum, they have good placements and faculties. So its like comparing your right hand is better or your left hand. I know this confusion arises as IIT Goa is a new IIT and people think real IIT's are the old ones. But let me assure you, you will not have any less facilities in a new IIT also. Except its records there are nothing less about it. Now as you to be a professor at IIT, one need to be a post doc and they need to be very good at there respective fields. So the teachers will be great, the curriculum will be great. The placements will also be good as you see they are IIT's and companies will visit them no matter what. So don't worry about it, if you get a chance at IIT GOA just go for it.

Now SRM is also a good institution but if you get chance in any of IIT GOA or NIT GOA then going to SRM avoiding this two institutions will be just like childish as well as illogical. IIT GOA have everything as SRM but SRM didn't have all the things that IIT GOA have.

The most efficient prioritization are:

1. IIT GOA
2. NIT GOA
3. SRM KATTANKULATHUR

To know more about IIT GOA visit the link below:

https://www.careers360.com/university/indian-institute-of-technology-goa

To know more about NIT GOA visit the link below:

https://www.careers360.com/university/national-institute-of-technology-goa

To know more about SRM KATTANKULATHUR visit the link below:

https://www.careers360.com/university/srm-institute-of-science-and-technology-chennai

I hope this answer helps. All the very best for your future endeavors!