Since the daughter stops when mom says "red choice", then the daughter is familiar with R/G Choices.

Reinforce the Green:
■Begin each R/G Strategy by reinforcing, through positive reinforcement, the green behavior.  
■Maybe she needs to be reminded of how proud mom/dad will be when she chooses green.

Consequences:
■What happens when she touches/taunts the cat later?
■Maybe try a list or an allotted amount of time with a timer. Set it for every hour or the morning and evening times, to reinforce her green behaviors when not taunting the cat.
■Does she need more than you just saying "red choice"? Take a step back and do what you did to begin R/G strategies. What was her first red and green consequence?

How can mom/dad (adults) help her choose green? Predict behavior. There should be an antecedent stimulus before her red choice is displayed. Intervene before she chooses red. Taunting the cat may be an overwhelming urge she may need help controlling. She may be thinking.. the cat is not going to tell me "no" or "red". Maybe ask her:
■"Do you need mom to help you choose green?
■"Do you need mom to help you choose a different activity to get away from the cat, so you choose green?"
■Or, a simple "mom will help".. help her, then reinforce her green behavior, "green". (depending on language skills)

"Self-Prompting": Allow mobile visual in areas to increase independent skills.
■Maybe put a red and green tag on the cat's collar. This way, she will begin to make her own behavioral decisions.
■She will know you put it on the cat - and by seeing it, will be reminded or your actions and reactions to her choices.

React Immediately: Provide feedback
■Monitor the behavior when near the cat. Would she prefer her independence, or mom/dad always monitoring her every move near the cat?
■Ask her / tell her: "If you choose red, I will sit here when you are near the cat."

Visual Reminder of Consequences: Make a list of her favorite items along with red and green baskets.
■When green is chosen, put an item from her list in the green basket. And the opposite with red, while reminding her to "try again tomorrow". (or later)
■Provide an exact time (maybe write it down too) when she may retrieve her "green choice items". If one time per day, make sure there are no more opportunities that day, for her to choose red with the cat.
■Or, try doing this 2 or 3 times a day. During school, I use my students' daily sheets home to review their expectations and responses after each period. I also will offer "breaks" of their choice, when green is chosen for that period, before we move on to the next subject or time period.

click to print a blank (pdf)

Provide Green Choices: Instead of.... I Should...
■Redirect her attention away from the cat.
■What other tolerable green choices could she do?
■I use these types of lists when consequences are established, known and accepted.
■Is she aware of consequences, or does she still need to see the exact consequences to her behaviors.

Sensory Input / Calming:
■Is taunting the cat such an overwhelming need, that she may benefit with a chart/list with her calming choices?