You can track your bets on the website in a similar fashion as you would on the mobile app. All you need to do is look on the right side of any of the 'My Action' page on actionnetwork.com. Toggle on the 'Make Picks' button and make selections just as you would on the app.
Once you click on a pick you will see the BetSlip pop up from the top of the page. From here you can adjust the odds, amount risked, and add notes. After adjusting your pick you can then select the 'Track Bets' option at the bottom to save your pick(s). 
Any bets you make on the website will show up in your 'My Action' tab on the app and vice versa.