you, or a competent person in your company can do the training.
I do safety training for a major co...we get certified by a formal program they have. plus, i have been to Bobcat's instructor program for skidsteer/backhoe safety.
lookup "forklift certification", "OSHA forklift safety training'', etc. and you'll find all the info you need.
You'll find courses you can buy, written tests, etc., but save yourself some money and alter them to your specific equipment
I've made up programs for small machine shops from my books and stuff off the internet.
One thing they like to see is pre-operation inspections...and make up a pre-op list, laminate it, and display it on the machine
You must have:
hands on evaluation
...and OSHA wants companies to keep formal records of training
down the road, they're going to want safety training for all equipment
let me know if you have any questions, and i'll be glad to answer/ or find the answer to them