Monkey grass and Mondo are two different plants. You have liriope. You may want to conseider mondo or dwarf mondo. Very low maintenance, excellent border plant.
In my experience, mondo (ophio) is a much smaller clumping plant which resembles a small tuft of fine-bladed fescue. I have not seen bulbs from either mondo nor liriope. Liriope is twice as tall, give or take, and spreads more by self-seeding.Mondo grass feels smoother and grows taller than Monkey grass. Mondo grass bulbs are also bigger than Monkey grass. All of these translate to Mondo grass being more difficult to manage and get rid of
That goes against the common thinking over here Kap...where do you get your source of info? Mondo=Monkey=liriope...