Hi,

I could able to figure out the solution for removing Hyperlinks in the template columns. 

Here is the code which will remove Hyperlinks while downloading into excel.

 protected void urlDownloads_Click(object sender, System.EventArgs e)
        { 
            try
            {

                uwgCostCenterAdmin.Behaviors.Paging.Enabled = false;
                BindGrid();

                uwgCostCenterAdmin.Columns[4].Hidden = true;
                WebExcelExporter1.DownloadName = "CostCenter";
                this.WebExcelExporter1.Export(uwgCostCenterAdmin);
                this.WebExcelExporter1.EnableStylesExport = true;
                uwgCostCenterAdmin.Behaviors.Paging.Enabled = true;
                BindGrid();
            }
            catch (Exception ex)
            {

                throw ex;
            }
        }           

        private int GetIndex(string text)
        {
            for (int i = uwgCostCenterAdmin.Columns.Count - 1; i >= 0; i--)
            {
                if (uwgCostCenterAdmin.Columns[i].Header.Text == text)
                    return i;
            }
            return 0;
        }

        protected void WebExcelExporter1_CellExporting(object sender, ExcelCellExportingEventArgs e)
        {
            if (!e.IsHeaderCell && !e.IsFooterCell && !e.IsSummaryCell)
            {
                int index = GetIndex(System.Convert.ToString(e.Worksheet.Rows[0].Cells[e.CurrentColumnIndex].Value));
                GridRecordItem item = uwgCostCenterAdmin.Rows[e.CurrentRowIndex - 1].Items[index];

                if (item.Column.GetType().Name == "TemplateDataField")
                {
                    TemplateDataField field = item.Column as TemplateDataField;
                    HyperLink costcenterLink = item.FindControl("costcenterLink") as HyperLink;
                    if (costcenterLink != null)
                    {
                        e.WorksheetCell.Value = costcenterLink.Text;
                        e.Cancel = true;
                    }

                }
                else
                {                
                    e.WorksheetCell.Value = item.Text;
                    e.Cancel = true;
                }
            }
        }

Hope this helps.