lay the foundation of
...those events, which helped to shape this country's development and to lay the foundations of this great nation based on shared principles of equality, democracy...
lay 是動詞，lay the foundation 是「打下基礎、奠定基礎」之意，不省略的話句意會比較清楚。 句子不完整，不清楚第二句的哪個部分需要替代。
... to children. And I believe this two-year study will lay the foundation of my job profession， creating a competitive advantage for the future career development...