In this case, at the end of the AjaxRequest event handler you can register startup script, through the ScriptManager.RegisterStartupScript() method, which will be invoke another ajax request and in it you can rebind both the grid. In this case you might need to set both the RadListView controls as updated from the RadAjaxManager in the ajax settings
Give it a try and let me know how it goes.
the Telerik team
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