Whenever you favorite a tweet, it'll add the tweeted date, tweeter, and link to the tweet to a Drive Spreadsheet named "Favorite Tweets" location at DRIVE/Twitter.
Then
Add row to spreadsheet
This action will add a single row to the bottom of the first worksheet of a spreadsheet you specify. Note: a new spreadsheet is created after 2000 rows.
Discover more time saving integrations for Google Sheets and Twitter