Children may, to some degree, become greedy, self-centered, ungrateful and insensitive to the needs and feelings of others, beginning with their parents.

在某种程度上，孩子可能会变得贪婪，以自我为中心，忘恩负义，对他人的需求和感情不敏感，这都是从他们父母们开始。

beginning with their parents 为现在分词作非限制性定语，相当于非限制性定语从句“which began with their parents”修饰前面名词短语“the needs and feelings of others”