Resource routes in Remix Framework work by matching incoming HTTP requests to specific handler functions based on the URL and HTTP method. When a client sends a request, Remix checks the URL pattern and the method like GET or POST. For GET requests, Remix calls the loader function to fetch and return data. For mutating requests (POST, PUT, DELETE, PATCH), Remix calls the action function to process data changes. If a request uses a method without a defined handler (no loader/action), Remix returns a 404 Not Found response. This flow helps organize API endpoints cleanly and makes it easy to handle different request types in one file. The example code shows loader returning item data for a GET request and action processing form data for mutations. Understanding which handler runs for each method is key to using resource routes effectively.