Your introduction makes me feel really confused. What is the full prompt of the essay? I guess this is about modern society rather than modern technology.
For example, my neighbor's family, the mother is an accountant so her children are spent 2 hours for fun. In addition, this is a divorced family so the father also does not care of his kids.
Your example is not clear and convincing. You could tell how busy the mother is to associate it with her children's minimal amount of time for fun. The divorce is not related to your topic sentence (busy with career).
Every time they want to have some interesting activities to relax but do not have one because the thick schedule does not allow them to do or they have to move that occasions for next week, even next month.
Their tight schedule prevent them from participating in various extracurricular activities for recreation.
to become a genius or even a billionaire in the future
for a bright future prospect
That why they have to go all days long and no time for talk with their parents.
As a consequence, children have to be absorbed in their assignment and have less time for conversation with their parents.
However, some family let them play all days just only for kind of a reason is have patties with friends.
What do you mean by this sentence?
her families
her family/parents
I hope this helps!