Science

To answer your question let see both courses one by one.
B.Sc. Anesthesia:-
Eligibility: 10+2 (or equivalent) with a minimum of 45% in the main Science subjects
Average fees- 25,000 - 41,000 per year
Job Roles: Anaesthesia Technician, Medical Consultant, Anesthetist, Pediatrician, Clinical Associate, Certified Registered Nurse Anesthetist, Anesthesiologist Assistant, Associate Consultant etc. Now most important thing
Average starting salary:-2.4L -3.6L PER YEAR
Now, B.Sc. Forensic Science:
Eligibilty:10+2 (or equivalent) with a minimum of 45% in the main Science subjects ( % age can vary from college to college)
Total fees:- INR 30,000 - 2,50,000
Job roles:- Forensic Scientist, Investigative Officer, Forensic Accountant, Cyber Forensic Expert, Law Expert etc.
Average starting salary: 3L-5L Per year
So, as you can see the fees is low for forensic Science and even average starting salary is also high
In my opinion, B.Sc. in Forensic is better.