Forensic 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.

The fee structure at G H Raisoni University, Amravati for B.Sc. in Forensic Science : 85600 first year fees.
About college:
G.H. Raisoni University (GHRU) Amravati is one of the top-ranked private universities in India offering several courses across different departments. The institute has a highly qualified and accomplished faculty that follows very innovative methods to teach students in effective and productive ways. GHRU Amravati also offers many facilities to students including ports provisions, mess, accommodation, library, placements and more. The college offers several programs in engineering, management, science, and law at undergraduate, postgraduate, and certificate levels. Admission to courses is made through qualifying entrance exams and eligibility of admission depends on past academic performance.
Hope it helps.
If you found it useful then upvote or thumbs up my answer.
Good luck.

Hello buddy, M.Sc. Forensic Science is a two-year postgraduate degree divided into four semesters. The course deals with the study of crime investigations. It provides training to students that include analyzing, identifying suspects through materials found on crime locations. The course enhances an in-depth understanding of forensic Science principles, its policing, and criminal investigation through teaching and research. With the M.Sc. Forensic Sciences Programme, students will be introduced to different forensic Science techniques, photography techniques, and more to supervise the crime scene in different situations. Eligiblity Criteria:
Graduation in Science
Entrance exams:
BHU PET
NEST
IPU CET
CPGET
Admission process:
Entrance exams/Merit
Fee structure:
Rs.20,000 to Rs.2,00,000 ( for entire duration). .