If you are asking how to transport your bags using a pull cart designed for the speed of driving on the golf cart to the course, depending on the size of your golf bag, we leave the pull cart attached to the bag, place the bag in the golf cart holder as normal with the pull cart wheels heading out, then run the strap through the area of the pull cart where the handle folds down and attach the strap as normal to the golf cart holder. The strap doesn't go around the handle when folded, but between the folded handle and the pull cart fame. Been doing that for years and so convenient to unstrap like taking the bag out of the golf cart, placing on the ground and extending the handle.
We're not in The Villages at the current time or would have submitted a picture.

I have a Sun Mountain 3 wheel cart and my bag stays attached to the cart. I keep my cart/bag on the back of my golf cart with the 2 wheels facing right. That way it sits a little lower and I can still get the sunbrella rain cover over the bag if needed. I have a security bag cover that I bought at one of the club houses that protects the clubs and locks the cart/bag to the golf cart with a cable and padlock so I hardly ever remove the cart/bag except at the golf course. If I have to load 2 bags I can have the 2 wheels facing out and fit 2 Sun Mountain cart/bags.

Do they all have pull carts? We live south of the turnpike and would like to play all of the execs over time but aren't sure about driving the golf car up to the northernmost courses. Renting a pull cart would be an easy solution.

Joe