I provided the following to a similar question about a week ago. Unfortunately, no one added anything that fills the gaps I left behind:

I can't address the history of these [types of] objects in art and literature, but it is possible to see clear examples in ethnography. Louise Bächman and Åke Hultzkrantz, Studies in Lapp Shamanism (1978) and many of the articles in Studies in Shamanism: Based on Papers read at the Symposium on Shamanism held at Åbo on the 6th-8th of September, 1962, edited by Carl-Martin Edsman (1967) describe shamans and other practitioners of magic/spiritualism using pointed objects - bones/sticks/wands/staffs - to focus their efforts. This lends us insight into broad ethnographic information that may have influenced the popularized image of wizards, etc. who use wands and staffs in art and literature.

In that previous question, there was also a suggestion that the staff of Moses may have played an influential role. That idea is intriguing, but it was offered without elaboration or sources, so it was deleted.

We probably need to think about the topic you are raising as needing to be addressed in two halves: were wands and hand gestures used by people who were attempting to practice magic; and secondly, how did these motifs become fixtures of art and literature - regardless of what was actually practiced?

In the first question - what was actual practice - there is evidence in ethnographic work of shamans in various cultures attempting to focus spiritual forces with wands including various pointed objects and hand gestures ( see the sources I cite).

To the second question - how did this come to manifest in popular literature and art - I leave it to someone else to help out, although the fact that these types of practices were part of the real world was no doubt influential.