Velvet AI Gateway is an AI request warehouse solution designed for engineers, enabling users to store requests from OpenAI and Anthropic in a PostgreSQL database. It optimizes AI functionality through log analysis, evaluation, and dataset generation. Key benefits of the product include user-friendliness, cost optimization, data transparency, and support for custom queries. The background of Velvet AI Gateway is aimed at helping innovative teams manage and leverage AI technologies more effectively, enhancing product competitiveness by reducing costs and improving efficiency.