어서 생기다

something that came about because ~

생기다 is something coming into existence — an incident, a custom, an idiom, a condition — and the -아서/어서 clause gives what brought it about. Every line here names a thing that way: 취해서 생긴 해프닝 (a mishap that came of being drunk), 24절기에 맞춰서 생긴 풍습 (a custom that grew up around the solar terms), 두 눈에서 불이 나는 것과 비슷해서 생긴 관용어.

Register: neutral; the caption style is common in variety shows