...I'm not even going to TRY to understand what's going on here.

If it were fully translated it might make more sense

It references an event in Kagetsu Tohya in which there's a restaurant (Dai Teito) which has a leaderboard with the biggest eaters. Current leaders being Aozaki Aoko and Aozaki Touko.

So this picture illustrates an attempt by Saber and Tiger to dethrone them.