Sacrifice

As White, I gave up 3 pieces to reach this position and missed mate in two.
Can you find the next two moves that end the game?

The answer is 1. Qg6+ ...Kf8 (only move). 2. Qg8 mate. Well, I ended up winning this game anyway because the other guy ran out of time. That sucks. It was one of those positions - I had a feeling might work out if I sent everything.

Immediately after sac'ing the pieces I had an opportunity to force a draw but decided to go for the win even tho it wasn't clear to me that it was winning.

The computer's analysis even recommended the sac's (!) but I missed its perfect continuation.

So, the chess intuition isn't too bad at this point but that's about all I have right now. After a few 2 minute 12 second blitz games, I still can't calculate & I'm missing easy things. Relying on keeping it simple & a lot of feel. I'll have to post that game on here tomorrow.