You have added Fields in the Form Template using Adobe Life Cycle Designer and established the Binding Path for it. You have also marked these fields as Show if exists in Easy Form Editor but still the fields are completely missing in the Form Template while previewing.
The cause for the issue could be that you have maintained the script in such a way that, if there is no value for these fields then the presence should be hidden. So, in the document there might not be any value for those fields.
Script may be like below:
if(this.rawValue==null ||this.rawValue == "")
In order to overcome the issue, change the scripting accordingly and publish it
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