There are a few ways to do this:
Use the Amazon Cognito Auth SDK for iOS or Android to integrate Amazon Cognito with your app. This will give your users the ability to sign in with their Amazon credentials, and will also allow you to access other Amazon services.
Use the Amazon Cognito Identity SDK for JavaScript to integrate Amazon Cognito with your web app. This will give your users the ability to sign in with their Amazon credentials, and will also allow you to access other Amazon services.
Use the Amazon Cognito Your User Pools feature to create a new user pool for your app. This will allow you to create a custom login experience for your users, and will also give you the ability to access other Amazon services.
Once you have integrated Amazon Cognito with your app, you will need to create a new Amazon Cognito user pool. This can be done through the AWS Management Console, or through the Amazon Cognito API.
Once you have created a user pool, you will need to configure it to allow your users to sign in. You can do this by creating a new app client, and selecting the "Enable sign-in with Amazon" option.
Once you have done this, your users will be able to sign in with their Amazon credentials, and will also be able to access other Amazon services.