Hi, 
could you please inspire with following code:
- register custom table repeater in your aspx template:
<%@ Register Src="~/CMSWebParts/CustomTables/CustomTableRepeater.ascx" TagName="customtablerepeater"  TagPrefix="uc1" %>
- add repeater part
 <uc1:customtablerepeater ID="CustomTableRepeater1" runat="server" CustomTable="customtable.people"                         SelectedDatabaseColumnName="ItemID" SelectedQueryStringKeyName="ItemID" SelectedValidationType="int"                         TransformationName="customtable.people.Default"  SelectedItemTransformationName="customtable.people.Preview"                        EnableViewState="false" />
- your code behind should be simmilar to this one:
using System;
using System.Web;
using CMS.CMSHelper;
using CMS.GlobalHelper;
using CMS.UIControls;
public partial class CMSTemplates_CorporateSiteASPX_Home : TemplatePage
{
    protected void Page_Load(object sender, EventArgs e)
    {
        CustomTableRepeater1.ReloadData();
    }
   
}
Best regards,
Ivana Tomanickova