If you are a team admin, you can submit your scores to the league which will automatically populate the league standings and scores tab. Keep in mind some organizations have disabled Allow Team Admins to Submit Scores.
From the App
Press the Schedule tab in the bottom menu
Select Past at the top to view your past events
Press Set Score and enter in your score
Fill Out Your Game Results and Press Submit to League
When asked if you're sure, select Yes
From the Web:
Log in to TeamLinkt via the web - app.teamlinkt.com
Select your team from the Dropdown in the top right
Click Schedule > Schedules
Toggle to Past events
Click Actions > Set Score
Fill Out Your Game Results and click Submit to League