diff --git a/docs/Adding-Software-to-Homebrew.md b/docs/Adding-Software-to-Homebrew.md
index 6679f6769a..b0e0c6e42d 100644
--- a/docs/Adding-Software-to-Homebrew.md
+++ b/docs/Adding-Software-to-Homebrew.md
@@ -265,7 +265,7 @@ brew uninstall my-new-cask
 If everything looks good, you’ll also want to make sure your cask passes audit with:
 
 ```bash
-brew audit --new-cask my-new-cask
+brew audit --new --cask my-new-cask
 ```
 
 You should also check stylistic details with `brew style`:
diff --git a/docs/Formula-Cookbook.md b/docs/Formula-Cookbook.md
index ea4a00e4b6..71d3999ced 100644
--- a/docs/Formula-Cookbook.md
+++ b/docs/Formula-Cookbook.md
@@ -48,7 +48,7 @@ Before submitting a new formula make sure your package:
 * isn't already waiting to be merged (check the [issue tracker](https://github.com/Homebrew/homebrew-core/pulls))
 * is still supported by upstream (i.e. doesn't require extensive patching)
 * has a stable, tagged version (i.e. isn't just a GitHub repository with no versions)
-* passes all `brew audit --new-formula <formula>` tests
+* passes all `brew audit --new --formula <formula>` tests
 
 Before submitting a new formula make sure you read over our [contribution guidelines](https://github.com/Homebrew/brew/blob/HEAD/CONTRIBUTING.md#contributing-to-homebrew).
 
@@ -366,7 +366,7 @@ Add aliases by creating symlinks in an `Aliases` directory in the tap root.
 
 You can run `brew audit --strict --online` to test formulae for adherence to Homebrew house style, which is loosely based on the [Ruby Style Guide](https://github.com/rubocop-hq/ruby-style-guide#the-ruby-style-guide). The `audit` command includes warnings for trailing whitespace, preferred URLs for certain source hosts, and many other style issues. Fixing these warnings before committing will make the process a lot quicker for everyone.
 
-New formulae being submitted to Homebrew should run `brew audit --new-formula foo`. This command is performed by Brew Test Bot on new submissions as part of the automated build and test process, and highlights more potential issues than the standard audit.
+New formulae being submitted to Homebrew should run `brew audit --new --formula foo`. This command is performed by Brew Test Bot on new submissions as part of the automated build and test process, and highlights more potential issues than the standard audit.
 
 Use `brew info` and check if the version guessed by Homebrew from the URL is correct. Add an explicit [`version`](https://rubydoc.brew.sh/Formula#version-class_method) if not.