“But wait…,” some might say, “how is God going to hold me accountable for something that I have no ability to accomplish myself?”
You are right, you cannot save your children. But God never called you to save them. He has called you to care for them. You are to shepherd their hearts with the word of God (Eph. 6.4; cf also Deut. 4.9 ; 6.7 ; 11.19). And you are to carry your cares of their salvation to the throne of grace for mercy and help (Heb. 4.16; 1 Pet. 5.7). It is this that you will be accountable for.