Home-made imitation is a phrase often used to describe something that is made to resemble a particular object or product. There are several synonyms for this phrase that can be used to add variety and flavor to your writing. Some examples include "replica," "simulation," "emulation," "mock-up," "copy," and "facsimile." Each of these words can be used to convey slightly different meanings, so it's important to choose the word that best fits the context of your writing. Using synonyms like these can help make your writing more interesting and engaging, and can help you convey your ideas with greater precision and clarity.