Миграция
class CreateModelCompatibilityTable extends Migration
{
    /**
     * Run the migrations.
     *
     * @return void
     */
    public function up()
    {
        Schema::create('model_compatibility', function (Blueprint $table) {
            $table->increments('id');
            $table->string('mark');
            $table->string('market');
            $table->string('model');
            $table->string('modif');
            $table->string('date');
            $table->string('shortsAll')->unique();
            $table->string('url');
            $table->timestamps();
        });


        Schema::create('prso_products_model_compatibility', function (Blueprint $table) {
            $table->integer('model_id')->unsigned()->index();
            $table->foreign('model_id')->references('id')->on('model_compatibility')->onDelete('cascade');

            $table->integer('product_id')->unsigned()->index();
            $table->foreign('product_id')->references('id')->on('prso_products')->onDelete('cascade');

            $table->timestamps();
        });
    }

    /**
     * Reverse the migrations.
     *
     * @return void
     */
    public function down()
    {
        Schema::drop('model_compatibility');
        Schema::drop('prso_products_model_compatibility');
    }
}

Модели и отношения
class PrsoProduct extends Model 
{
protected $table = 'prso_products';
    protected $primaryKey = 'id';
    protected $fillable = [
      'category_id',  'name', 'slug',  'price', 'description', 'number','status', 'artikul', 'views', 'show', 'ostatok'
    ];
 public function models()
    {
        return $this->belongsToMany(ModelCompatibility::class)->withPivot('id');
    }

}
И
class ModelCompatibility extends Model
{
    protected $table = 'model_compatibility';
    protected $primaryKey = 'id';
    protected $fillable = [
        'mark',  'market', 'model',  'modif', 'date', 'shortsAll','url'
    ];


    public function product()
    {
        return $this->belongsToMany(PrsoProduct::class)->withPivot('id');
    }
}
метод в контроллере
public function ParseCategory()
    {

        $prod = new Product();
        $ParseProds = $prod->offset(6)->limit(4)->get();
        $Model = new ModelCompatibility();

        $mark = ['nissan', 'infiniti'];
        foreach ($mark as $k => $m) {
            $NISMarkets = SearchNum::getNisMarkets($k);
        }

        foreach ($ParseProds as $parseProd) {
            $number = $parseProd->number;
            reset($NISMarkets);
            while (list($mark, $v) = each($NISMarkets)) {

                $parseSearch = $this->searchNISNumber($number, $mark);
                if ($parseSearch->get('errors') == null) {
                    $insert = [];
                    $Model->updateOrCreate(['shortsAll' => $shortsAll], $insert);
                    $ParseProds->models()->attach($Model);///  ВОТ ТАК ВОТ НЕ ЗАПИСЫВАЕТ

                    continue;
                }

            }

        }

    }