Following example shows how to add XSLT list view webpart to a webpart page:

//Display items with latest modified date

                string query = "<OrderBy><FieldRef Name=\"Modified\" Ascending='FALSE'/></OrderBy>";

                //Total number of rows to be shown in Lists on homepage

                uint rowCount = 20;

//Get Reference of Task List

                SPList taskList = oWeb.Lists["Tasks"];

                StringCollection relevantColumns = CreateViewColumns();

                SPView taskView = taskList.Views.Add("Recent Tasks", relevantColumns, query, rowCount, false, false);

                string zoneID = "Zone ID";

                int zoneIndex = 1;

                AddListsToHomePage(taskList, taskList.Title, zoneID, zoneIndex, taskView);

private StringCollection CreateViewColumns()

        {

            StringCollection viewFieldsCollection = new StringCollection();

            string tasksColumns = "ID;Title";

            string[] columns = tasksColumns.Split(';');

            foreach (string column in columns)

            {

                viewFieldsCollection.Add(column);

            }

            return viewFieldsCollection;

        }

private void AddListsToHomePage(SPList listToAdd, string title, string zoneID, int zoneIndex, SPView view)

        {

            //ListViewWebPart lvwp = new ListViewWebPart();

            XsltListViewWebPart lvwp = new XsltListViewWebPart();

            lvwp.ListName = listToAdd.ID.ToString("B").ToUpper();

            lvwp.ViewGuid = view.ID.ToString("B").ToUpper();

            lvwp.Title = title;

            using (SPLimitedWebPartManager webpartManager = web.GetLimitedWebPartManager(web.Url + "default.aspx", System.Web.UI.WebControls.WebParts.PersonalizationScope.Shared))

            {

                webpartManager.AddWebPart(lvwp, zoneID, zoneIndex);

                webpartManager.Web.Dispose();

            }

            //Set toolbar type to Freeform

            MethodInfo ensureViewMethod = lvwp.GetType().GetMethod("EnsureView", BindingFlags.Instance | BindingFlags.NonPublic);

            object[] ensureViewParams = { };

            ensureViewMethod.Invoke(lvwp, ensureViewParams);

            FieldInfo viewFieldInfo = lvwp.GetType().GetField("view", BindingFlags.NonPublic | BindingFlags.Instance);

            SPView spView = viewFieldInfo.GetValue(lvwp) as SPView;

            Type[] toolbarMethodParamTypes = { Type.GetType("System.String") };

            MethodInfo setToolbarTypeMethod = spView.GetType().GetMethod("SetToolbarType", BindingFlags.Instance | BindingFlags.NonPublic, null, toolbarMethodParamTypes, null);

            object[] setToolbarParam = { "Freeform" };

            setToolbarTypeMethod.Invoke(spView, setToolbarParam);

           

            //Set tabular view to false, so that bulk editing is not allowed

            spView.TabularView = false;

            spView.Update();

            //Update the default view

            SPView defaultView = listToAdd.DefaultView;

           

            //Total number of rows to be shown in Deafault view of Lists

            uint rowCount = 100;

            defaultView.RowLimit = rowCount;

            defaultView.Paged = true;

            defaultView.Update();

        }