Setting checked value for Eval(bool)

You are using plain HTML checkbox

to bind data to plain HTML checkbox you must use checked="checked"

If you use ASP.NET Checkbox control then your original code will work smoothly.

There is a difference between plain HTML controls & ASP.NET controls when binding data.

 //for asp.net checkbox
 <asp:CheckBox  ID="IdCheckBox" runat="server" Checked="<%# Convert.ToBoolean(Eval("AutoRenew")) %>"  />

//for plain html checkbox
<input type="checkbox" <%# Convert.ToBoolean(Eval("AutoRenew")) ? "checked" : "" %> />

Desired output HTML should get you on the way:

<input type="checkbox" checked="checked" />
<input type="checkbox" />

This means that, to NOT check the checkbox, you should not mention the checked attribute in the output at all, not even with a value of false.

Add checked attribute if Convert.ToBoolean(Eval("AutoRenew")) is true

<input type="checkbox" 
  <%# Convert.ToBoolean(Eval("AutoRenew")) ? "checked" : string.Empty %> />