Cats may show aggrieved expressions because they want something or want attention. For example, if a cat wants food or wants to go outside, they may put on a pitiful face in an attempt to interest people and hopefully satisfy them. Cats may also show aggrieved expressions because they are dissatisfied with their current environment or situation. For example, if a cat feels that they are being ignored or left aside, they may express their displeasure with a pitiful face.
In some cases, cats may even express their illness or pain with a pitiful face in hopes of getting help. Generally speaking, cats show aggrieved expressions because they want people's attention and satisfaction, or because they are dissatisfied with the current environment or situation.