Production is the process of converting inputs into outputs through various operations. All the operations which demands consumption of resources together known as manufacturing. Both the terms are used interchangeably yet both are different axioms. 

The difference is in the raw material. 

In production, the raw material is not procured from outside, the company owns it and after processing and make the final product. 

But in Manufacturing, the company procures the raw material from outside, and then makes the final product. 
manufacturing is a process of converting raw material in to finished product by using various processes,machines and is a narrow term. 
production is a process of converting inputs in to is a broder term. 
every type of manufacturing can be production, but every production is not a manufacturing. 
exa- making of a turbine by various processes is manufacturing 
assemble the various parts to make an engine is production not manufacturing. 
Manufacturing isn't just when producing the product, it includes other stages such as design, sales, management and marketing