The phrase "greater scrutiny" means carefully examining or inspecting something more closely and thoroughly to understand it better or find any flaws or errors. Full definition
When the time comes for greater scrutiny of the opposition and its policies, this will be a problem. (conservativehome.blogs.com)
She used her speech to called for greater scrutiny on private companies providing public services. (bbc.com)
The assumption is being made that if an advocate produces a result in a scientific study that supports their advocacy, it should be looked at with greater scrutiny. (judithcurry.com)