Weapon finesse allows players to use DEX rather than STR with light weapons (like the short sword) but the sheet doesn't auto add the dex bonus when using unarmed strikes or natural weapons (like claws). I believe this to be a bug. See Synin Olaug's sheet as an example.

Unfortunately right now, the character sheet does not support automatic handling for specific feats, including Weapon Finesse. I cannot offer a timeline on when this feature will be added, as this is a somewhat specific advanced feature.

However, the current sheet allows for an easy workaround that should cover any attack which doesn't use the 'default' ability (i.e. Strength for Melee or Dexterity for Ranged):

1. Set the attack to "Other" instead of Melee / Ranged - this removes the default ability from the modifiers
2. Manually add a bonus to the attack (or attacks) using the relevant ability (Strength, Dexterity, Constitution, Intelligence, Wisdom or Charisma) as the Bonus Source

If typed correctly, the name of the ability will automatically turn green, and the bonus will be locked equal to the relevant ability score. The sheet will now automatically update the bonus should your ability score change at a later time.

I have made this modification to Synin Olaug's sheet for all listed attacks except the short sword throwing attack.

Hopefully this will help for now.