So I am reaching out to you guys before my lesson next week which would be the 2nd time I play it for my teacher. Are there any tips or "tricks" you guys have on strengthening those fingers so one is able to play a trill between them at a decent (lol) presto speed?

Don't confuse strength and agility. You could strengthen your fingers so much that they could bend iron girders and it wouldn't be the slightest help for playing this passage. You don't need more strength here, you need better coordination and reflexes.
Some tips for practicing this:
- Choose one of the fingerings suggested by liszt1022: whichever one seems more natural to you. The essential thing is using the thumb on G: using the third finger on G is just making life harder.
- First play the passage slowly,
piano and with the least effort possible. Listen for evenness and move your fingers no more than necessary: do not lift them off the keys!
- Now practice tiny chunks fast: first just two sixteenth notes B-G to A-F#. Play the two thirds
leggiero, precisely and always with minimum effort. Give your hand a moment to relax and play the two thirds again.
- Do the same thing, the other way round: A-F# to B-G. Make sure that the hand relaxes
immediately after you have played the second third.
- Play slightly bigger chunks: try 3 or 5 sixteenth notes in a row. Always give yourself a moment to relax before repeating the chunk.
- Be patient! A little of this regime, often, will soon show results.