Hello there,
Actually if used correctly, content syndication can be an effective way to help your site ranking, I'm assuming you have a main blog that you want to syndicate the content on it's to other blogs with different groups of visitors, so ultimately they might visit your main blog from that syndicated blog post.
There are some things you can do on syndicated posts such as canonical, noindex, etc. You can read on this 2 post which explains each method in details:
https://searchengineland.com/syndicated-content-189097
Hope this helps
Joseph Yap