If the game proceeds in the left direction and a player draws the reverse card, it will change the direction, but you will not be the next player in turn. How does reverse in Uno work with 2 players? No.
This specific rule varies a little in the case of either single-player or multi-player games. If a player before you plays a Wild +2 card, you have to draw two cards, and the next turn will pass to the next player in the same direction as the game was proceeding.
This is, in fact, the significant rule concerning reverse cards. In simple words, if the game was proceeding from left to right, now it shall proceed from right to left and vice versa. The Uno reverse card reverses the direction of gameplay.