The phrase "unorthodox way" means doing something in a different or unconventional manner, not following the usual or traditional way of doing things. Full definition
New and already existing projects as well as a collection of unexpected objects are immersed in unorthodox ways within an environment specially designed by Fabian Marti, that guides the viewer through routes containing different chapters. (wdw.nl)
In recent months, a family of ransomware attacks has taken to a somewhat unorthodox way of alerting users. (techrepublic.com)
Okay, I know that's a somewhat unorthodox way of starting a «serious» parenting article, but please, stay with me a bit longer; this parenting recipe does actually make sense: (positive-parenting-ally.com)