How can I fix the problem?

Ditch Lightroom and use Nikon Capture NX-D software that uses the exact in-camera settings to open your raw files.

When you select a color temperature and use White Balance Fine Tuning it affects the final color temperature that is applied to the raw data and that is recorded in the EXIF info as RGB multiplier values. Lightroom will (supposedly) attempt to replicate the same fine adjustments, but I find that it can be rather hit or miss. Using the camera maker's own software usually means the information in the maker note section of the EXIF data will be read and applied to the raw data. Adobe products tend to ignore most of the information in the maker notes. Most WB fine tuning and custom WB information is stored in the maker note section of the EXIF info by many camera manufacturers.

For more, please see:
Why do RAW images look worse than JPEGs in editing programs?
Match colors in Lightroom to other editing tools
How can I undo Canon Auto Lighting Optimizer in Lightroom? (although Canon specific the situation is very similar with Nikon and their in-house raw converter Capture NX-D compared to Lightroom)
Canon custom white balance does not import to Lightroom / Photoshop
How do I map white balance settings on the Sony NEX to Lightroom?
Why does AWR (Sony Raw) file curve at the edge when editing in Photoshop? (A Sony version of the same basic question)
What is the Lightroom equivalent of setting the contrast to -2 in the camera?
How to get Lightroom to render JPEG photos the same as on the 60D LCD?