The phrase "unanticipated ways" means unexpected or unforeseen ways. It refers to things happening in a manner that was not predicted or planned in advance. Full definition
I believe that implementing new EPA initiatives to control ozone will bring some shortcomings of these energy initiatives to a head in unanticipated ways sooner than many expect. (judithcurry.com)
«It's like when radar or photography was first invented — you start realizing that it can be applied in all sorts of unanticipated ways. (discovermagazine.com)
It will not be defeated and discouraged by failure but will continue to trust that in some surprising and unanticipated way freedom and justice still constitute the destiny of all. (religion-online.org)