Yes, you can go back to India after getting a Green Card. A US green card permits a person to live and work in the United States while also beginning the process of becoming a naturalized US citizen. This card gives the possessor a permanent resident of the United States, granting them many of the same advantages as a citizen, but not all. However, your Green Card does not invalidate your Indian citizenship.
Here are some things you need to know about Green Card:
Temporary absences: You can travel outside the U.S., including to India, as a Green Card holder for temporary visits.
Re-entry permit: If you plan to be outside the U.S. for more than six months, it's highly recommended to apply for a re-entry permit before leaving. This document helps establish your intent to return to the U.S.
Indian Visa: As a Green Card holder, you may still need an Indian visa to enter India. Travelers can apply for an Indian visa online. With an eVisa, travelers with passports issued by Liberia can visit India on vacation.  Using the eVisa platform, you can apply for an Indian visa as long as you have an internet connection.