Here are examples of the word/phrase "authorize" used in a sentence and paraphrased in a sentence...
Don't bother asking that man because he won't authorize you.
Don't bother asking that man because he won't sanction you.
If I authorize you to enter the war, will you win?
If I allow you to enter the war, will you win?
This company will authorize a more flexible dresscode in the near future.
This company will permit a more flexible dresscode in the near future.
Other Examples...