global class ItalyPriceBookIntegrationBatch implements Database.Batchable<sObject>{
    
    global Database.QueryLocator start(Database.BatchableContext BC){
        Datetime lastOneHour = Datetime.now().addMinutes(-60);
        string finalQuery = 'Select Id, Sales_Org__c, Product_SKU_Calculated__c from Product2 where (NOT Material_Master_ID__c like \'' +'%SEP%' + '\')' 
            +' and LastModifiedDate >= ' +string.valueOf(lastOneHour.Date())+'T'+string.valueOf(lastOneHour.Time());
        system.debug('Final Query --> ' +finalQuery);
        return Database.getQueryLocator(finalQuery);
    }
    
    global void execute(Database.BatchableContext BC,List<Product2> scope){
        set<Id> prodIdSet = new set<Id>();
        List<PriceBookEntry> newPBEList = new List<PriceBookEntry>();
        List<PriceBookEntry> updatePBEList = new List<PriceBookEntry>();
        map<Id,PriceBookEntry> pbeProdMap = new map<Id,PriceBookEntry>();
        string it01PBid = System.Label.IT01_PriceBookId;
        for(Product2 prod : scope){
            prodIdSet.add(prod.Id);
        }
        System.debug('the Price Book Entries are -->'+prodIdSet);
        for(PriceBookEntry pbeList : [Select Id,Name,Product2Id,IsActive from PriceBookEntry where Pricebook2Id =:it01PBid and Product2Id In :prodIdSet]){
            pbeProdMap.put(pbeList.Product2Id,pbeList);
        }
        System.debug('the Price Book Entries are -->'+pbeProdMap);
        for(Product2 prodIT : scope){
            if(prodIT.Sales_Org__c == 'IT01'){
                if(pbeProdMap.get(prodIT.Id)!= Null){
                    PriceBookEntry oldPBE = pbeProdMap.get(prodIT.Id);
                    System.debug('the PBE is -->'+oldPBE.Id+oldPBE.Name);
                    if(!oldPBE.IsActive){
                        oldPBE.IsActive = True;
                        
                        updatePBEList.add(oldPBE);
                    }
                    
                }else {
                    PriceBookEntry newPBE = new PriceBookEntry();
                    newPBE.Pricebook2Id = System.Label.IT01_PriceBookId;
                    newPBE.Product2Id = prodIT.Id;
                    newPBE.IsActive = True;
                    newPBE.PBE_External_Id__c = 'EPC-IT01-'+prodIT.Product_SKU_Calculated__c;
                    newPBE.UnitPrice = 0.00;
                    newPBE.CurrencyIsoCode = 'EUR';
                    
                    newPBEList.add(newPBE);
                }
            }else {
                if(pbeProdMap.get(prodIT.Id)!= Null){
                    PriceBookEntry oldPBE = pbeProdMap.get(prodIT.Id);
                    System.debug('the PBE is -->'+oldPBE.Id+oldPBE.Name);
                    if(oldPBE.IsActive){
                        oldPBE.IsActive = False;
                        
                        updatePBEList.add(oldPBE);
                    }
                }
            }
        }
        system.debug('The update list is -->'+updatePBEList.size());
        if(updatePBEList.size() > 0){
            Database.SaveResult[] oldPBE = Database.update(updatePBEList,false);
            for(Database.SaveResult opbe:oldPBE){
                if(!opbe.isSuccess()){
                    system.debug(' Error-->'+opbe.getErrors());        
                }
            }
        }
        system.debug('The new list is -->'+newPBEList.size());
        if(newPBEList.size() > 0){
            Database.SaveResult[] newPBE = Database.insert(newPBEList,false);
            for(Database.SaveResult npbe:newPBE){
                if(!npbe.isSuccess()){
                    system.debug(' Error -->'+npbe.getErrors());        
                }
            }
        }
    }
    
    global void finish(Database.BatchableContext BC){
        
    }
    
}

Test Class--

@isTest
public class ItalyPriceBookIntegrationBatch_Test {
@testsetup
    static void setup(){
        Product2 prodOne =  DivAC_00_TestFactory.getProduct('Test Product');
        prodOne.Sales_Org__c = 'IT01';
        prodOne.Material_Master_ID__c = '12345_EPC';
        insert prodOne;
        Pricebook2 standardPricebook = DivAC_00_TestFactory.getStdPriceBookId();
        Map<id,PricebookEntry> pbeProdMap = new Map<id,PricebookEntry>();
        PricebookEntry pbe = DivAC_00_TestFactory.getPriceBookEntry(String.ValueOf(standardPricebook.Id),String.ValueOf(prodOne.Id),2);
        pbe.Product2Id = prodOne.id;
        pbe.IsActive = true;
        insert pbe;
        pbeProdMap.put(pbe.Product2Id,pbe);
        pbeProdMap.get(prodOne.Id);
        System.debug('the Price Book Entries are -->'+pbeProdMap);
        PriceBookEntry oldPBE = pbeProdMap.get(prodOne.Id);
        
    }
    static testmethod void test(){
        Test.startTest();
        ItalyPriceBookIntegrationBatch ipb = new ItalyPriceBookIntegrationBatch();
        ID batchId = Database.executeBatch(ipb);
         Test.stopTest();
   
    }
}