Vice calls the Christian Post's piece criticizing Christianity Today a "new schism" among evangelical media outlets. Though the gap has widened, it has a history. vice.com/en_us/article/…
In 2018 Christianity Today published a story that looked at "Manhattan DA’s case involving the former heads of Newsweek and the Christian Post expands to include Olivet University" christianitytoday.com/news/2018/nove…
Over the years, Christianity Today has published many stories critical of David Jang, the Christian Post, and Olivet University. christianitytoday.com/ct/topics/j/da…
The Christian Post has disputed this coverage. Here's an example: christianpost.com/news/olivet-un…
And here is a Religion Dispatches piece that notes that "a storm has erupted between Christianity Today, arguably the mouthpiece of contemporary American evangelicalism, and the Christian Post, a smaller competitor." It's from 2012. religiondispatches.org/christian-medi…
For more examples, search for "Christian Post" at christianitytoday.com and "Christianity Today" at christianpost.com
CT has had many critics. In early years, the editor of Eternity told J. Howard Pew that CT editor Carl F.H. Henry was a socialist. 
Sword of the Lord editor John R. Rice accused Christianity Today of publishing articles by modernists. See Susan Rose's book for more. books.google.com/books?id=kfxkV…
There have also been progressive evangelical critics. While Sojourners praised Christianity Today's impeachment editorial, they have also been critical of CT at times. sojo.net/articles/chris…
Donald Dayton, Christian Collins Winn and Bruce Benson discuss early intergenerational tensions between Christianity Today and the Post-American (now Sojourners). books.google.com/books?id=P7lzB…
The world of evangelical magazines has always been lively and fractious, sometimes irenic but often polemical and combative.
In decentralized interdenominational movements, editors are more important than bishops. faithandleadership.com/john-schmalzba…
Correction: Bruce Benson edited the volume with Donald Dayton and Christian Collins Winn conversation. books.google.com/books?id=P7lzB…
*Kathleen Boone's book, actually. Susan Rose has book on Christian schools: books.google.com/books?id=zXXCD…
More on CT and CP from VeggieTales creator Phil Vischer.
