We're worried that they will try to shape the issue in a way that doesn't reflect reality.

shape 在这里是动词，意思是"塑造、影响、引导"。原意是"形状"，作为动词时引申为"使成形、塑造某种形态或发展方向"。在这个句子中表示"试图影响或操控某个议题的呈现方式"。