Since the internal search function at docs.adobe.com isn't working properly, replace it with Google Custom Search. After all, Adobe's own employees already suggest searching docs.adobe.com with Google anyway (reference: https://github.com/AdobeDocs/analytics.en/issues/77#issuecomment-591690385)
So save your users the extra step of going to google.com. Here's a mock-up of what your internal search could look like: