A cut sheet is a general term for a few pages of specifications, instructions, dimensions, etc. that apply to a certain technical product or product line, generally shipped with the product. It is my understanding that they are called such because they are frequently pages which are "cut" from the company catalog.
Cut sheets are generally specific enough to convey any information that the customer might need to install or use the product.
It depends on what type of engineering drawings. If you want cutsheets for equipment, most manufacturers have drawings on their websites. But if you are looking for construction or assembly drawings manufacturers or companies will not have them available outside the company since these would be intelectual property.