Rook and Knight Endgame
My side is White and its my opponent's turn and both of us have each horse and rook, but I have 2 pawns extra, and watch out there is a pawn at F7 which is partially visible due to my horse.
this is a Rook and Knight Endgame in which you are two pawns up. Your advantage is measured in pawn units and is higher than 4 units.
This means it should be an easy win for you because Black is not able to protect the a-pawn and will lose this pawn next move. (Rxa6)
But you will lose your doubled d-pawn, which is weak and cannot be defended.
1...Ke7 2.Rxa6 Rd8 - see below
Don't play now 3.Ra5?? to defend the d-pawn or you lose your knight 3...KxN. Play 3.Kd2 instead and give up the doubled d-pawn. 3...Rxd
then play 4.Ke3 - see below
Rd8 and support your passed pawn at d3. Move the king into the center to get space advantage. 5.Ke4 Kf8 (then push the passed b-pawn to b4) 6.b4 Kg7 and 7.b5 Rb8 - see below
It could go on like this 8.Nh5+ Kf8 9.b6 Ke8 10.Kd5 Ne7+ 11.Kc5 Kd8 (Your king must attack and support your operations). 12.Nf6 Rc8+ 13.Kb5 Rc1 (protect your pawn with the king and get your sleepy knight back into the game.)
14. Ra7 (cuts off the black king) Nf5 15.Rd7+ Kc8 16.g4 Ne3 17.Rxf7 Rb1+ 18.Kc6 Rc1 19.Kd6 Rd1 20.Nd7 Rxd+ 21.Kc6 Rc3+ 22.Nc5 etc.
Just get your whole army moving ahead give up pawns you can't defend, but take other pawns instead and keep going until one of your pawns promotes into a queen or until you give a checkmate due to your space advantage.
Your position should develop into something like this. See below
Black is lost because White treathens to give checkmate playing 23.Rf8++ mate
I hope this helps.