How add the removed item to the order again?

I need to remove products from the order, after which, removed products can be added to the order

 $backOrdersIds = array();
            $this->getQuote()->getItemsCount();
            foreach ($this->getQuote()->getAllItems() as $item) {
                $oldQty = (int)$item->getProduct()->getStockItem()->getQty();
                $qtyOrdered = (int)$item->getQty();
                $differenceQty = $oldQty - $qtyOrdered;

                //remove backorder items from Quote
                Mage::log('first foreach' . $item->getProductId());
                if($differenceQty < = 0 ){
                    $backOrdersIds[] = array(
                        'productId' => $item->getProductId(),
                        'qty' => $qtyOrdered
                    );

                    $this->getQuote()->removeItem($item->getId())->save();
                }
            }
//trying to add a remote item
foreach ($backOrdersIds as $ordersIds){
                $product = Mage::getModel('catalog/product')->load($ordersIds['productId']);
                Mage::log('order qty for product ' . $ordersIds['productId'] . 'qty=' .$ordersIds['qty']);
                $this->getQuote()->addProduct($product, $ordersIds['qty'])->save();
                Mage::log('product add to quote');
            }

i have this error

The requested quantity for "product name" is not available.

How can I add the removed item to the order again?