About [explain + that clause]

Hi,

I want to see what this [that] means in following sentences.

1. He couldn't see how it worked until I explained that you had to turn it on first.

2. Allow me to explain that the government has no intention of raising taxes.

Does this [that] means [according to]?

If so, then the sentence can rephrase this way: 1.....until I explained [how it worked] according to that you had to turn it on first. 2. Allow me to explain it according to that the government has no intention of raising taxes.

By the way, to [he couldn't see how it worked], can I rephrase it this way [how it worked causes him not to see]?

Thank you for your assistance.