ISO 8601 describes an internationally accepted way to represent dates and times using numbers. The format of a datetime in ISO8601 should have the following format:
2016-04-27T18:30:00-05:00 (Year-Month-Day-T-Hours-Minutes-Seconds-Timezone)
To format a datetime with twig is very easy and you don't need to write it by yourself, just use the c format which is predefined with twig.
{{"now"|date("c")}}
{#Which outputs something like : 2016-04-29T15:47:28+02:00 #}
However if for some reason the previous line doesn't work for you, you can still format manually with all the parameters using :
{{"now"|date("Y-m-d\\TH:i:sP")}}
{#Which outputs something like : 2016-04-29T15:47:28+02:00 #}
You'll use this format for example in the google rich snippets. You can test the following TwigFiddle to see a working example:
Have fun !