I have 14 years of experience in the field of biotechnology. I have a Master's Degree in microbiology, presently working with the largest vaccine manufacturing company of India. Since last 7 + years I have been working with recombinant organisms. I would like to know under which occupation category I am eligible for federal skilled class.

Unfortunately, you do not fall under any of the listed categories.

Given your technical background, you can try qualifying under either of these categories

4121: University Professors
4131: College and Other Vocational Instructors

If you are determined to get here, you will have to change your profession or try to get experience of atleast one year in one of the categories