personally, if the saddle is already 'level', as in good support at the sitzbones, I'm never crazy about tilting it up further into the luggage.
If I'm having to move forward, and it's not because I'm dialin it up to 400 watts, then usually dropping the saddle about 3-5mm works for me... in a pinch. Then when I get a chance, I rethink my height and fore/aft position on that bike.
pushing any gear usually causes you to get driven back, but getting over the top of a big gear at higher rpms (100 and +), while in the saddle, will pull you forward, like a TT position.
Might want to define when it's happening to you.
How did you 'decide' on your current position?
The cockpit setup is usually secondary, while your saddle to cranks setup will be primary to a balanced position.