diff --git a/airflow/utils/state.py b/airflow/utils/state.py
index 32219edb73424..10355dcaf0795 100644
--- a/airflow/utils/state.py
+++ b/airflow/utils/state.py
@@ -58,6 +58,14 @@ class TaskInstanceState(str, Enum):
     SKIPPED = "skipped"  # Skipped by branching or some other mechanism
     DEFERRED = "deferred"  # Deferrable operator waiting on a trigger
 
+    # Not used anymore, kept for compatibility.
+    # TODO: Remove in Airflow 3.0.
+    SHUTDOWN = "shutdown"
+    """The task instance is being shut down.
+
+    :meta private:
+    """
+
     def __str__(self) -> str:
         return self.value
 
@@ -100,6 +108,14 @@ class State:
     SKIPPED = TaskInstanceState.SKIPPED
     DEFERRED = TaskInstanceState.DEFERRED
 
+    # Not used anymore, kept for compatibility.
+    # TODO: Remove in Airflow 3.0.
+    SHUTDOWN = TaskInstanceState.SHUTDOWN
+    """The task instance is being shut down.
+
+    :meta private:
+    """
+
     finished_dr_states: frozenset[DagRunState] = frozenset([DagRunState.SUCCESS, DagRunState.FAILED])
     unfinished_dr_states: frozenset[DagRunState] = frozenset([DagRunState.QUEUED, DagRunState.RUNNING])
 
@@ -190,6 +206,15 @@ def color_fg(cls, state):
     A list of states indicating that a task or dag is a success state.
     """
 
+    # Kept for compatibility. DO NOT USE.
+    # TODO: Remove in Airflow 3.0.
+    terminating_states = frozenset([TaskInstanceState.SHUTDOWN, TaskInstanceState.RESTARTING])
+    """
+    A list of states indicating that a task has been terminated.
+
+    :meta private:
+    """
+
     adoptable_states = frozenset(
         [TaskInstanceState.QUEUED, TaskInstanceState.RUNNING, TaskInstanceState.RESTARTING]
     )
diff --git a/tests/www/views/test_views_cluster_activity.py b/tests/www/views/test_views_cluster_activity.py
index 0c70ea1425e92..1825a1d680620 100644
--- a/tests/www/views/test_views_cluster_activity.py
+++ b/tests/www/views/test_views_cluster_activity.py
@@ -115,6 +115,7 @@ def test_historical_metrics_data(admin_client, session, time_machine):
             "restarting": 0,
             "running": 0,
             "scheduled": 0,
+            "shutdown": 0,
             "skipped": 0,
             "success": 2,
             "up_for_reschedule": 0,
@@ -143,6 +144,7 @@ def test_historical_metrics_data_date_filters(admin_client, session):
             "restarting": 0,
             "running": 0,
             "scheduled": 0,
+            "shutdown": 0,
             "skipped": 0,
             "success": 0,
             "up_for_reschedule": 0,