Looking on the internet deeply has found these results:

catch up on their news is the most popular phrase on the web. 

Related Comparison

• catch up with study or catch up with studying?
• Quick meet up with my friend or Quick catch up with my friend?
• caught up in my work or caught up with my work?
• catch up with you or catch you up with?
• catch up with my course or catch up on my course?
• catch up with my studies or catch up on my studies?