Hi

Yes, with your degree from Karnataka State Open University you are eligible for government jobs provided you fulfill other eligibility criteria.

This is because,

Karnataka State Open University is recognised by UGC and since it is recognised it is valid for your government jobs .

You can check it at its official page the link for the same is provided below

https://ksoumysuru.ac.in/ugc_recognition.php

So, if you have done your degree from Karnataka State Open University you don't need to worry at all

for example,
the eligibility criteria for UPSC civil services examination is provided below which is is one of the most reputed competitive examination through which jobs in grade A government services is provided

*You  must  have  a  bachelor's  degree in any, discipline    from a  recognised university.

So, with your  degree from Karnataka State Open University you will be even eligible for UPSC and other government jobs as well as it doesn't matter whether even if your University is Open University what matters is it should be recognised one.

*Minimum  age  limit :-  you  need to  be at least  21  years  old   to be  eligible.

*Maximum  age  limit :-  32 years , also there's 3  year  relaxation on upper age limit for  obc and of  5 years  for sc/st category.

Thank you