My mom keeps giving my child small amounts of rip it energy drinks, watered down. i don't want to cause an argument bc of drink but can this b harmful?

Yes it can be: "small amounts" to an adult are NOT small amounts to a child. Energy drinks are primarily caffeine, which can have effects on children's growth, and unknown effects on the rest of their health. Tell your mother to STOP, and if she won't, you have to decide on whether you can allow your child to be with her. A family member or therapist may be needed to mediate this family problem.

Very BAD idea: this is doing nothing but getting your child hooked on sugar and starting early childhood obesity, diabetes, cardiovascular disease and poor nutrition and dietary habits. The child would be much better off with juice made from fresh fruits and mostly vegetables run through a juicer. Your mother is doing the child no favors, just setting her up for a lifetime of poor health. My advice STOP.