RAW on LR > Edit on PS > colors problem & more when edit back on LR

Presets applied to rendered tif files will have completely different results then when you apply them to a raw file. raw file contain raw sensor data and are in a linear space (every increase of one is an extra photon detected by the pixel on your sensor) and each pixel only describes the response in one color area (there are red, green, or blue filters on each pixel site on your sensor laid out in what's called a Bayer array. They are not corrected for white balance and are not in a device specific color space or anything like that. Tif files on the other hand are gamma corrected (which means that the brightness corresponds non-linearly on the number in the file) and rendered in a certain color space and referenced to a color space white value. This means that the adjustments in a typical preset really only are valid when you apply them to one kind of file. This is especially clear for white balance. For a raw file, white balance is a value in Kelvins and a green purple shift (tint) value that is absolute. It describes the color temperature of the light source illuminating the scene. For a tif or jpeg file, the white balance is a relative shift from zero since the real white balance has already been baked in.

Bottom line is that you should do as much of your edits as you can in Lightroom before ever opening photoshop. In most cases (depending on your editing style), you should never go to Photoshop. There is very little that you really need photoshop for and as soon as you go to Photoshop all your edits become baked in (except if you open as a smart object but that limits your editing ability).