Having issues with Redirects not working and old links on SERP

[Ideas-Collide]

We just migrated a site and built a redirect map for Site A to B. If there were old redirects made for site A that weren't pulled when pulling internal links for site A, do those also need to be redirected to site B to eliminate a Redirect chain?

Cannot figure out why old links are still showing up, does it take a few days for google to figure out these are not real pages?

[moon-boots]

If I have understood your question correctly, you have set up redirects from the old site to the new site, but old links are still appearing in Google search results. It is in my experience that old links tend to remain for some time, but when clicked and assuming a redirect is correctly set up, the user will be redirected to the new page. It can take some time for Google to update the old page to show the new one instead.

I hope that helps.

Richard