"Is it OK for my kids to finish cutting the grass?"
With a motor? No. They may reach under the deck.
With a manual push? No. They may trip on a root and thrust their fingers into the rotor blades.
With scissors? No. They may run, fall, and impel themselves.
With a goat? No. The goat poop creates fecal runoff that poisons the wetland created by the lack of maintenance to government controlled drainage systems, as well as methane production.
So - NO, just NO. Let them play their video games you rouge.
Taking away the work ethic is a successful way to turn the next generation into undisciplined brats.