The phrase "to increase that intervention" means to make more effort or take stronger actions to get involved or influence a situation. Full definition
Because there is an elevated risk for suicide after hospital discharge, discharge from a hospital is a moment for increased intervention. (sciencedaily.com)
Improvement in society's democratic status will not come from increased interventions by judges in governmental policies. (slaw.ca)
Women admitted to hospital in early labour = increased intervention and decreased normal birth. (midwifethinking.com)