No you are not eligible to apply for job recruitment in Tata Consultancy Services after having backlogs in graduation level degree . to apply for Tata Consultancy Services you must clear all backlogs .

Eligibility:
You have to obtained minimum 60% or above marks in your educational career.
You should not have a year gap of more than 2 years.
You must have cleared all backlogs before applying in TCS because you will not be allowed with backlogs.

Only you need to clear all backlogs before applying for TCS after that you are not going to face any difficulty if you have already cleared all of your backlogs.

Selection process :
Aptitude test
Interview(Technical +HR)