I have often struggled to get sources from Logos into Zotero. All the methods I've tried were cumbersome and required a lot of effort every time I'd need to add a new resource. Also, adding my entire library was not a good idea since the seminary I attend provides an over abundance of resources that come standard with logos.
But Eureka! I found an easy / simple / straightforward way!
Going to the information section for a resource and selecting a citation style of "Refer/BibiX Style" then click copy.
Then in zotero got to File > Import from Clipboard
So far it has worked every time. Occasionally I have to add in some missing info such as authors / editors. But for me it's much better than trying to enter it manually.
Maybe this process was already out there. If it is I wasn't able to find it.
Please feel free to suggest improvements, recommendations or corrections as needed.
NOTE: these instructions are for a Mac. Your PC might be different.