Here are examples of the word/phrase "authorizing" used in a sentence and paraphrased in a sentence...
The school is authorizing an additional recess for today.
The school is sanctioning an additional recess for today.
For some reason, this website isn't authorizing me to use any of it's pages but the home page.
For some reason, this website isn't permitting me to access any of it's pages but the home page.
Other Examples...