Hi Amr,

in page you are using standardcontroller attruibute, please chaneg it to controller only as per below code

<apex:page Controller="newTaskForTypeController" tabStyle="TaskForTypes__c" >
    <script>
    function confirmCancel() {
        var isCancel = confirm("Are you sure you wish to cancel?");
        if (isCancel) return true; 
        return false;
    } 
    </script>
    <apex:sectionHeader title="Add New Task Assignment For Types Rule"/>
    <apex:form>
        <apex:pageBlock title="Rule Name" mode="edit">
            <apex:pageBlockButtons>
            <apex:commandButton action="{!step2}"/>
            </apex:pageBlockButtons>
        </apex:pageBlock>
    </apex:form>  
</apex:page>

Also change the controller class as below, as custom controller need to have a zero argumnet constructor. I kept this constructor as empty, if you need you can write some logic inside it too.

public class newTaskForTypeController {
    TaskForTypes__c taskType;

//empty constructor
public newTaskForTypeController (){
   //you can write some logic here
}
    
    public TaskForTypes__c getTaskType(){
        if(taskType == null) return new TaskForTypes__c();
        return taskType;
    }
    //First page which will contain name 
    public PageReference step1(){
        return Page.Tasks_For_Types1;
    }
    
    //Second page which will contain Sub type name and 
    public PageReference step2(){
        return Page.Tasks_For_Types2;
    }
    
    //Cancel the operation
    public PageReference cancel(){
        //Navigate to first page
        PageReference tft1 = new ApexPages.StandardController(taskType).view();
        tft1.setRedirect(true);
        return tft1;
    }
    
    //Save method
    public PageReference save(){
        insert taskType;
        PageReference tft1 = new ApexPages.StandardController(taskType).view();
        tft1.setRedirect(true);
        return tft1;
    }
}

please let me know if you need any more assistance on this