* Simple: The idea for the project originated with the marketing team.
* Formal: The ancient tradition of tea drinking is believed to have originated in China.
* Figurative: Her love of music originated in her childhood, when she first heard her father play the piano.
* Specific: This particular strain of bacteria is known to originate in the soil.
* Active: The company plans to originate a new line of sustainable products.
The best way to use "originate" depends on the specific context of your writing.