There are many ways, it really depends on what you need. One way is to put newline in a variable (note the 2 empty lines are critical):
@echo off
setlocal EnableDelayedExpansion
set NL=^
echo two!NL!lines >> new_text_document.txt
Use one or two > does not matter. since >> appends you can do many lines of echo too
@echo off
:other stuff
echo multiple >> new_text_document.txt
echo lines >> new_text_document.txt
echo. >> new_text_document.txt
echo of text >> new_text_document.txt
that may be clunky so you could do something like this instead
@echo off
:other stuff
(
echo multiple
echo lines
echo.
echo of text
) >> new_text_document.txt
Last but not least you can do something similar to the bash trick but you will have no EOL marker.
@echo off
more +4 %~f0 >> new_text_document.txt
exit /b
your
multi
line
text
In addition to this its possible to for loop the file yourself this way you can have a EOL marker for many different pieces.