With your save game loaded on the computer, click the “FM” button, then “Save Game As”. On the popup that appears, click the “Cloud” button and save your game. Afterwards, quit Football Manager and Steam will synchronise the save game with the Steam Cloud.
Once this has done, go to the Football Manager Touch 2016 Start Screen on your tablet and tap “Cross-Save”. The panel should now display the new save. Tap it, then tap “Download Save Game” to download it to your tablet. When the download has completed, tap “Close” and then tap “Load Game” to load it as normal.