This is because label text value is loaded from view state.Your jquery change the value of label but didn't change view state where it value is being loaded on postback....
But you want the change label text..so you can get it like this.......
string lblvalue=Request[lblNew.UniqueID] as string;
Here is and example to understand how view state work with label...refrence MSDN
<asp:Label runat="server" ID="lblMessage"
Font-Name="Verdana" Text="Hello, World!"></asp:Label>
<br />
<asp:Button runat="server"
Text="Change Message" ID="btnSubmit"></asp:Button>
<br />
<asp:Button runat="server" Text="Empty Postback"></asp:Button>
And the code-behind class contains the following event handler for the Button's Click event:
private void btnSubmit_Click(object sender, EventArgs e)
{
lblMessage.Text = "Goodbye, Everyone!";
}
illustrates the sequence of events that transpire, highlighting why the change to the Label's Text property needs to be stored in the view state.