This is an accepted solution.
Assuming your internal navigation is OK (that there is normal links to your blog posts) depending on the authority of your site it can take some time to get new content indexed. You can submit the page in Google Search Console but often it does not speed up actual indexing.
The best you can do is generally get more and better links to your website to increase authority. That will make indexing faster.
Agree with @demib. It would take 2 weeks to 4 weeks for pages from the new site to get indexed on Google. I suggest that you make sure that you already submit your sitemap, and keep producing more content to build up your topical authority over time.
Let me know if my answer is of any help with a thumb up or like