正确的。
属于"forget/remember somebody('s) doing something"的句型
也就是remember+逻辑主语+动名词，即remember+动名词复合结构
但是口语中，your比you不常用。
I remember you playing the piano.
I remember your playing the piano.
I've forgotten you saying that to my sister.
I've forgotten your saying that to my sister.
