After solving the 2x2 centers you can proceed with Pairing Edges. Once completed, the cube can be solved like a regular 3x3 puzzle (Reduction). Then, if applicable, look for OLL-PLL Parity cases.
Hold the cube so that the two edges to solve are at Left and Right of the Front layer. Then, use (R U R') to place the right edges block into the top layer while preserving the bottom blocks.