The amendment would give agencies broad protection to refuse service to anyone on religious grounds. That could also include someone who had previously been divorced, same-sex couples or couples of different religions.
Supporters said the amendment would protect adoption agencies from having to violate deeply held religious beliefs. They also noted that many adoption agencies work with LGBT families.
Gov. Nathan Deal criticized the changes Monday, and the state's top business organizations came out opposed to the amendment.
A group of child advocacy groups and LGBT activists canceled a news conference planned for Tuesday after the bill was sent back to committee.
The Atlanta Journal-Constitution will again have Georgia’s largest team covering the Legislature. Get complete daily coverage during the legislative session at myAJC.com/georgialegislature.
The Associated Press contributed to this article.