To type the shrug emoji on Android, follow these steps:
Copy ¯\\_(ツ)_/¯ (we swear, this will be the only time you copy-paste)
Go to your settings
Select Language & Input
Select the “+” option
Fill in the shortcut field with the word “shrug”
In the Type of Word field, paste the emoticon:  ¯\\_(ツ)_/¯