For Text you would use <> and if you want an OR (it is greater than the current date AND Org doesn't equal "This" OR the date is greater than the current date AND Event doesn't equal "This" would be:
Code:
Date Organization Event
>Date() <> "This"
>Date() <> "This"
If you want the date to be greater than the current date And Org AND Event to not be equal to "This" then it would be a single line:
Code:
Date Organization Event
>Date() <> "This" <> "This"
Now, one thing to be wary of. Using DATE as a field name or object name is not good. That is an Access Reserved Word and it may come back and bite you at the most inopportune times. I would not use it as a name.
Oh, and make sure you know that >Date() means it would be TOMORROW or Greater. It does not include today.