Which version of I Love You China is in Shake Shack?

It's a cover by Gluten Brother Cheng Shulin.

Brother Gluten (real name Cheng Shulin), pen name Lin Mengxie, born on April 19, 1974 in Xinyang, Henan Province, is a male singer and Internet celebrity.

"I Love You, China" is the theme song of the movie "Overseas Red Son". The movie, which was a hit in the early 1980s, was sung by the famous soprano singer and Malaysian returnee Ye Peiying.