Pushing a package to the Community Repository requires the use of an API Key. You can head over to the Community Repository and create an account. Once you have your account, you will see the API listed in your Profile.
Add your API key to your local chocolatey installation
Run the following command to add your api key for the community repository to your Chocolatey installation:
choco apikey -k <your key here> -s https://push.chocolatey.org/
Note that we have covered the Community Repository here. For other sources, information for pushing to them can be found here.
When you are ready to push a package press Ctrl+Shift+P to bring up the Command Pallete and type Chocolatey: Push Package(s). This will add your new package to the repository.