"To accept this conclusion" means to agree with or believe in the final decision or judgment that has been reached based on the information presented or the reasoning provided. Full definition
This led to the widely accepted conclusion that it can not be proposed as a reliable earthquake precursor. (sciencemag.org)
If the study is pertinent for their purposes, they examine the other chapters before accepting the conclusions. (custom-essay-writing-service.org)
Doesn't sound like your school is interested in supporting any scholarly work at all if they already know what accepted conclusions are. (religion.blogs.cnn.com)