Cutting tile with mesh can be challenging. The mesh on the back of the tile serves a few purposes. It is seen on mosaic tiles, as well as other types of tiles that have odd shapes and combinations. Cutting through this doesn't have to be a headache if you know what to do.
1. Use Utility Scissors
If you need to cut an even area to fit a corner or end, this can be accomplished with plain utility scissors. Don't use a pair of scissors that you have used on paper or fabric. The blades of the scissors need to be sharp, and cutting paper and fabric can wear down the blades. Flip the tile upside down so you are looking at the mesh when you cut.
2. Tile Cutters
If you need to cut an area that will require you to cut through the tile itself, you can use a tile cutter. Even once you've cut the tile, you will have to contend with the mesh. The best thing to do in this situation is to cut the tile, then keep the tile on place on the mesh. Flip the mesh over so you are facing the back of the tile. Then use the utility scissors to cut through the mesh itself.