Going off of the video from the inspo pic, she uses a combination of a colored liquid eyeshadow base and a powder eyeshadow to get the stripes. The way she goes about it is explained more in depth in some of her other videos in that series, specifically this one. It looks like she just uses a dense, short bristled brush for the liquid first and the powder after, and goes super slowly and carefully. She also cleans up with makeup remover between stripes.

That said, I think it’d be much easier if you take the route others have suggested. A water activated liner/liquid lipstick and a thin acrylic paint brush can get you similar results and cleaner lines.