One of my friends attends IIEST and here is his insight regarding cutoffs.
Your rank in JEE mains seems to be 5-6k more than the cutoff borderline for receiving admission into Metallurgy and Materials Engineering. According to the recent cutoff trends, the required cutoff for Metallurgy and Material Engineering are as follows.
It would be difficult to get in Metallurgy and Materials Engineering with your rank. Your admissions in any branch are never guaranteed solely on the basis of cutoffs as the cutoffs drastically change in the case of JEE. The cutoffs provided are an approximation of your field of choice.