CA

If you do CA then you don't need to do MBA and if you do MBA then you don't need to go for CA. Who told you that CA has less finance curriculum? It's completely wrong. CA is totally about finance, accounts, auditing, and taxation and you can do CA after MBA but in my opinion, you should do one of these.

Hi Avinash,
Read this article for details related to CA and its career options:
https://www.shiksha.com/careers/chartered-accountant-23

Yes, you can do both.

BBA, BBA -IB, BBA-CA these three are good. If you go with BBA, you have to go with specialization in the 3rd year of graduation, and after that you can pursue MBA or you can also go for job. BBA-IB deals with the job related to International Business. BBA-CA is related to finance, so you will get into financial sector. Three of these courses are best and can give you good job opportunities and good college to pursue MBA further. So, you can choose your degree in what you are interested at.

Ideally, you should have started your CA journey early at 10+2 buy you are still eligible to become CA even after MBA.

Hi Priyanka,
To secure admissions in Harvard you must be an extraordinary candidate. A good profile includes excellent academic grades and extracurriculars , in short they look for all-rounders. I will suggest you read this and prepare accordingly
https://college.harvard.edu/admissions/application-process/what-we-look
Read this on how to become a CA
https://www.icas.com/education-and-qualifications/how-to-become-a-chartered-accountant-ca

I can understand how much in deep trouble you are suffering. But listen there is no age of success. If you really want to restart your career with CA then go for it. But if you are confused between MBA and CA then I would prefer MBA from a top B-School because:
1) Duration of MBA is of 2-years but CA takes more and you've already reached 25 years.
2) If you did your regular MBA from a top B-School with excellent grades then surely you will get higher remuneration and designated post then CA.
So MBA is preferred but if you want you can do CA. Whatever you do, just complete it.
Good luck!