A lawnmower coil is a different critter than the ones used on a 2 stroke bicycle engine. They are not compatible. The bicycle one has electronics inside it, lawnmower one just has a coil of copper wire.
If you are running a 4 stroke bicycle engine, I have not gotten inside one of those yet, so I will not comment on them.
My best advice to you is to get the coil made specifically for your engine.
FWIW if you are scratching your head over a 2 stroke HT, the stock plug in connectors between the engine and CDI coil are horrible and give lots of folks problems.
The stock spark plugs are also problematic, as are the spark plug wires.
"It's a chinagirl. It's a sometimes fun little engine that often will break your heart. It's disposable.
Does not come with a fortune cookie."