I believe it is a version of the US Marine anchor and globe on the coffee cup.
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But, I do not think they are all Marines. It looks like a flag to me, but I can’t make it out.
Google image search and a look at similar images in HD brought up this image which is a better quality view of the logo on the cups:
The image shows it to be an eagle, globe, and anchor with four white/silver stars on a red flag with gold edging.
Doing another Google search for “eagle globe anchor four stars red flag” brought up this Wiki which appears to related to the Joint Chiefs of Staff, specifically the Commandant of the Marine Corps
https://en.m.wikipedia.org/wiki/Commandant_of_the_Marine_Corps
The Marine next to Mattis is former Commandant James Amos.
Check the uniforms. Marines let non-Marines drink out of Marine coffee cups, but not wear the uniform.