Hi nauna,
To disable previous dates use min attribute.
Check this example. Now please take its reference and correct your code.
HTML
<script type="text/javascript" src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script>
<script type="text/javascript">
$(function () {
var today = new Date();
var month = ('0' + (today.getMonth() + 1)).slice(-2);
var day = ('0' + today.getDate()).slice(-2);
var year = today.getFullYear();
var date = year + '-' + month + '-' + day;
$('[id*=txtdateofreservation]').attr('min', date);
});
</script>
<asp:TextBox ID="txtdateofreservation" runat="server" TextMode="Date"></asp:TextBox>
Screenshot