This article describes how you can insert the current date into a DCP Template. The datetime function shall be used to insert the current date and time instead of using the date function of Word.
1) Insert the Datetime Function as advanced string
The datetime Function must be inserted as Advanced String.
Figure 1: Insert Datetime via Advanced String
Do not use the datetime field option, if just just want to insert the current date, as this option is to insert datetime fields (to do calculations with CRM datefields)
https://support.mscrm-addons.com/knowledgebase/documentscorepack-datetime-field-syntax-dynamics-365/
Figure 2: Insert the datetime function as advanced string
2) Format Options for the Datetime function
A full list of all available date format options can be found in that article: