The phrase "to replicate that success" means to try to achieve the same level of success or to achieve a similar outcome as something that was successful in the past. Full definition
I don't think I've kept up enough with this husband / wife duo, but it seems to me that they've never replicated the success of their first feature film. (rottentomatoes.com)
It doesn't help you identify, analyze, and replicate this success in other classrooms. (performancematters.com)
There is no reason that charter school can't replicate these successes with students with special needs. (publiccharters.org)