I have redirected https://www.example.com to https://example.com. Should I exclude all the redirected pages of the first website in its own search console?
For instance should I include https://www.example.com in its own sitemap as the redirected page?
Your sitemap should only contain the URLs you want to have indexed. It should not contain:
You should delete the sitemap containing your old URLs and submit a sitemap that only contains the new URLs.
The reason is that Google uses sitemaps to choose the best URLs to index. You don't want Google trying to index redirecting URLs. You want Google to index the URLs at their final destination. See The Sitemap Paradox.