"蓄有山羊胡须的" can be translated into English as "with a goatee" or "having a goatee".
For example:
He is a man with a goatee. （他是一个蓄有山羊胡须的男人。）
The artist, having a goatee, looked quite distinctive. （那位蓄有山羊胡须的艺术家看起来非常独特。）