Problems after updating Core Module
Genosis
Try downloading the jrCore package and uploading it to your server.
You can download it from here:
http://www.jamroom.net/
Then un-zip it and upload it via FTP to your server. should just need to upload the:
/modules/jrCore/*
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Another way to do it would be to look at your servers file system and see if there are multiple versions of the core module
/modules/jrCore-version-5.2.33
/modules/jrCore-version-5.2.32
/modules/jrCore-version-5.2.31
If there are, then its probably just the newest one that is only half transferred, so delete that and the system should revert to the next newest one.
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What that error messsage is saying is on your server there is expected to be a file:
/modules/jrCore/templates/page_begin.tpl
but that page is not there, so it cant continue.