The government site you linked says the same thing:

> If the House adopts the articles by a simple majority vote, the official has been impeached.

Trump has been impeached twice. I think the confusion comes in when people misuse these terms, often when they want to say things like "Trump was never impeached!". He definitely was by the only definition that actually matters, which is that the House passed articles of impeachment. He was not found guilty.

Call me old fashioned, but I think these confusions are intentional and should be met with correcting the definitions - not making up new meanings of words - especially in this case where it's formally defined in the law.