diff --git a/keras/backend.py b/keras/backend.py
index 66186ddbf7a..7f5b6b1d4cc 100644
--- a/keras/backend.py
+++ b/keras/backend.py
@@ -1087,9 +1087,7 @@ def my_op(a):
 
 # Export V1 version.
 _v1_name_scope = tf.compat.v1.name_scope
-keras_export(v1=["keras.backend.name_scope"], allow_multiple_exports=True)(
-    _v1_name_scope
-)
+keras_export(v1=["keras.backend.name_scope"])(_v1_name_scope)
 
 
 @keras_export("keras.backend.variable")
diff --git a/keras/initializers/initializers_v1.py b/keras/initializers/initializers_v1.py
index 62d0e2b4f3c..ccac2d3a664 100644
--- a/keras/initializers/initializers_v1.py
+++ b/keras/initializers/initializers_v1.py
@@ -29,35 +29,30 @@
 _v1_glorot_uniform_initializer = tf.compat.v1.glorot_uniform_initializer
 _v1_glorot_normal_initializer = tf.compat.v1.glorot_normal_initializer
 
+keras_export(v1=["keras.initializers.Zeros", "keras.initializers.zeros"])(
+    _v1_zeros_initializer
+)
+keras_export(v1=["keras.initializers.Ones", "keras.initializers.ones"])(
+    _v1_ones_initializer
+)
+keras_export(v1=["keras.initializers.Constant", "keras.initializers.constant"])(
+    _v1_constant_initializer
+)
+keras_export(v1=["keras.initializers.VarianceScaling"])(
+    _v1_variance_scaling_initializer
+)
 keras_export(
-    v1=["keras.initializers.Zeros", "keras.initializers.zeros"],
-    allow_multiple_exports=True,
-)(_v1_zeros_initializer)
-keras_export(
-    v1=["keras.initializers.Ones", "keras.initializers.ones"],
-    allow_multiple_exports=True,
-)(_v1_ones_initializer)
-keras_export(
-    v1=["keras.initializers.Constant", "keras.initializers.constant"],
-    allow_multiple_exports=True,
-)(_v1_constant_initializer)
-keras_export(
-    v1=["keras.initializers.VarianceScaling"], allow_multiple_exports=True
-)(_v1_variance_scaling_initializer)
-keras_export(
-    v1=["keras.initializers.Orthogonal", "keras.initializers.orthogonal"],
-    allow_multiple_exports=True,
+    v1=["keras.initializers.Orthogonal", "keras.initializers.orthogonal"]
 )(_v1_orthogonal_initializer)
-keras_export(
-    v1=["keras.initializers.Identity", "keras.initializers.identity"],
-    allow_multiple_exports=True,
-)(_v1_identity)
-keras_export(
-    v1=["keras.initializers.glorot_uniform"], allow_multiple_exports=True
-)(_v1_glorot_uniform_initializer)
-keras_export(
-    v1=["keras.initializers.glorot_normal"], allow_multiple_exports=True
-)(_v1_glorot_normal_initializer)
+keras_export(v1=["keras.initializers.Identity", "keras.initializers.identity"])(
+    _v1_identity
+)
+keras_export(v1=["keras.initializers.glorot_uniform"])(
+    _v1_glorot_uniform_initializer
+)
+keras_export(v1=["keras.initializers.glorot_normal"])(
+    _v1_glorot_normal_initializer
+)
 
 
 @keras_export(