Add this code to your solution:
<system.data>
<dbproviderfactories>
<remove invariant="System.Data.SQLite" />
<add name="SQLite Data Provider" invariant="System.Data.SQLite" description=".Net Framework Data Provider for SQLite">
type="System.Data.SQLite.SQLiteFactory, System.Data.SQLite, Version=1.0.88.0, Culture=neutral, PublicKeyToken=db937bc2d44ff139" />
</add></dbproviderfactories>
</system.data>