What you see on the LCD is directly effected by the Picture Style you have chosen in the menu, even when shooting RAW files.
The reason for this is that even when shooting RAW the camera has to create some sort of JPG thumbnail to display on the LCD, cannot directly show RAW files at all. It simply uses the chosen Picture Style in the menu as a guide.
Of course, when shooting JPGs, they are processed in the camera from original RAW files (all images start out as RAW) using the guidelines set up in the Picture Style menu. The difference is that when you file away a JPG that has been processed, these fairly broad parameters can no longer be changed. If shooting RAW and post-processing on your computer, all these settings can be modified before creating a JPG or TIFF from the file.
You can go in and look at the parameters preset in the Picture Styles, and can change them. You also have some customizable "User Defined" ones you can set up.
Using a "Faithful" Picture Style, one of Canon's preset, for example, reduces image sharpening to 0, and Contrast, Saturation and Color Tone all to the center position. "Neutral" is similar. "Portrait" dials in a slight amount of Sharpness at a setting of 2. Standard increases Sharpness to 3. And "Landscape" has the highest preset of 4. You can modify any of these, or set your own User Defined Style as high as 7 Sharpness (might cause JPG artifacts, though, if that's what you are shooting).
Check the Picture Style also for Contrast, Saturation and Color Tone. This may be the reason you are seeing an odd color cast during playback.
In general, viewing the image on the LCD is of limited value. You really can't use it (or even the higher resolution ones being added to some cameras) for critical image analysis. This is because the LCD ends up being viewed in a wide assortment of different ambient light conditions. Wait until you can view the image on a color calibrated computer monitor, before making final judgments. On the other hand, the histogram is very useful for accurate exposure analysis.