Episerver has the ability to do Wildcard and Synonym searching and you would like to use them both at the same time, unfortunately Episerver does not currently support this configuration of combined searching.
Due to how Wildcard and Synonym search currently works, users of Episerver will not be able to combine them into a single search. Currently our engineering team is looking into implementing this ability. For now, you will have to do some work in the back-end code to first retrieve the search results using Wildcard search. Once you have those results you can use the SearchClient.Instance.Synonyms() feature to get the synonyms for each results. You can read more about that call and see code examples of using it at https://world.episerver.com/documentation/developer-guides/find/NET-Client-API/searching/Synonyms/