Idaho Statutes
TITLE 49 MOTOR VEHICLES
CHAPTER 3 MOTOR VEHICLE DRIVER'S LICENSES
49-301. DRIVERS TO BE LICENSED. [EFFECTIVE JANUARY 30, 2012.] (1) No person, except those expressly exempted by the provisions of this chapter, shall drive any motor vehicle upon a highway unless the person has a current and valid Idaho driver's license. Provided however, that those persons holding a restricted school attendance driving permit may drive upon a highway pursuant to the restrictions set forth in section 49-307A,
I looked up the exemptions they don't include people who've lost their license. Like my state of Tennessee you don't have to have a motorcycle license but you do have to have a drivers license to operate a motorized bicycle on the public roadways. A motorized bicycle in your state would have to meet the requirements of a moped. Otherwise you'd have to meet the requirements of a motor driven cycle. It allows you to do more but requires more as well.
I've done some more research Idaho laws don't seem to cover the issue of electric assist bikes so this may be the area you need to go.