Could I have won this endgame?

This game ended in a draw (threefold repetition)

I couldn't find a way to grap his pawn or to bring my King into the game.

Was it a forced draw or did I make some mistakes? Or maybe black was able to promote both pawns?

Thanks in advance for your help.

this is a trivial win for white

56. Qa6 followed by Qf1 wins outright

example

56. Qa6 Kf3 57. Qf1 g4 58. Kc6 g3 59. Kd5 g2 60. Qd3+ Kg4 61. Qe4+ Kg3 62. Qe3+, followed by winning the f pawn and stopping the g pawn

i would study Q vs p endgames if I were you, these are very simple positions that most players who study should know

I think black blundered at the start is the problem though, 53....Kh3 should draw

actually nvm, Kh3 still loses so white simply wins