Finally, I got it working with ImageSharp library. It might be helpful for others.
    private byte[] TransformAvatarIfNeeded(byte[] imageInBytes)
    {
        using (var image = Image.Load(imageInBytes))
        {
            ExifValue exifOrientation = image.MetaData?.ExifProfile?.GetValue(ExifTag.Orientation);
            if (exifOrientation == null) return imageInBytes;
            RotateMode rotateMode;
            FlipMode flipMode;
            SetRotateFlipMode(exifOrientation, out rotateMode, out flipMode);
            image.Mutate(x => x.RotateFlip(rotateMode, flipMode));
            image.MetaData.ExifProfile.SetValue(ExifTag.Orientation, (ushort)1);
            var imageFormat = Image.DetectFormat(imageInBytes);
            return ImageToByteArray(image, imageFormat);
        }
    }
    private byte[] ImageToByteArray(Image<Rgba32> image, IImageFormat imageFormat)
    {
        using (var ms = new MemoryStream())
        {
            image.Save(ms, imageFormat);
            return ms.ToArray();
        }
    }
    private void SetRotateFlipMode(ExifValue exifOrientation, out RotateMode rotateMode, out FlipMode flipMode)
    {
        var orientation = exifOrientation.Value.ToString();
        switch (orientation)
        {
            case "2":
                rotateMode = RotateMode.None;
                flipMode = FlipMode.Horizontal;
                break;
            case "3":
                rotateMode = RotateMode.Rotate180;
                flipMode = FlipMode.None;
                break;
            case "4":
                rotateMode = RotateMode.Rotate180;
                flipMode = FlipMode.Horizontal;
                break;
            case "5":
                rotateMode = RotateMode.Rotate90;
                flipMode = FlipMode.Horizontal;
                break;
            case "6":
                rotateMode = RotateMode.Rotate90;
                flipMode = FlipMode.None;
                break;
            case "7":
                rotateMode = RotateMode.Rotate90;
                flipMode = FlipMode.Vertical;
                break;
            case "8":
                rotateMode = RotateMode.Rotate270;
                flipMode = FlipMode.None;
                break;
            default:
                rotateMode = RotateMode.None;
                flipMode = FlipMode.None;
                break;
        }