diff --git a/backends/arm/_passes/decompose_sqrt_pass.py b/backends/arm/_passes/decompose_sqrt_pass.py
index d4a678affea..547d0091e90 100644
--- a/backends/arm/_passes/decompose_sqrt_pass.py
+++ b/backends/arm/_passes/decompose_sqrt_pass.py
@@ -4,6 +4,8 @@
 # LICENSE file in the root directory of this source tree.
 
 # pyre-unsafe
+from typing import Tuple, Union
+
 import torch
 from executorch.exir.dialects._ops import ops as exir_ops
 from executorch.exir.pass_base import ExportPass
@@ -15,7 +17,7 @@
 )
 
 
-def get_sqrt_decomposition(op) -> tuple:
+def get_sqrt_decomposition(op) -> Union[Tuple, torch._ops.OpOverload]:
     # TODO : "MLETORCH-863 : Replace current sqrt -> pow.Tensor_Scalar workaround with pow.Tensor_Tensor"
     if op in edge_sqrt_ops:
         return exir_ops.edge.aten.pow.Tensor_Scalar
diff --git a/backends/arm/_passes/replace_scalar_with_tensor_pass.py b/backends/arm/_passes/replace_scalar_with_tensor_pass.py
index f9ad3cfaee8..1e8b2d6b651 100644
--- a/backends/arm/_passes/replace_scalar_with_tensor_pass.py
+++ b/backends/arm/_passes/replace_scalar_with_tensor_pass.py
@@ -6,7 +6,7 @@
 # pyre-unsafe
 
 
-from typing import Dict
+from typing import Dict, Union
 
 import torch
 from executorch.backends.transforms.replace_scalar_with_tensor import (
@@ -18,7 +18,10 @@
 
 
 # Operators that are included for both TOSA profiles
-_common_ops: Dict[EdgeOpOverload, EdgeOpOverload] = {
+_common_ops: Dict[
+    Union[EdgeOpOverload, torch._ops.OpOverload],
+    Union[EdgeOpOverload, torch._ops.OpOverload],
+] = {
     exir_ops.edge.aten.add.Scalar: exir_ops.edge.aten.add.Tensor,
     exir_ops.edge.aten.sub.Scalar: exir_ops.edge.aten.sub.Tensor,
     exir_ops.edge.aten.mul.Scalar: exir_ops.edge.aten.mul.Tensor,
diff --git a/backends/transforms/replace_scalar_with_tensor.py b/backends/transforms/replace_scalar_with_tensor.py
index 21eb325b646..8ce05a3d4d4 100644
--- a/backends/transforms/replace_scalar_with_tensor.py
+++ b/backends/transforms/replace_scalar_with_tensor.py
@@ -5,7 +5,7 @@
 # This source code is licensed under the BSD-style license found in the
 # LICENSE file in the root directory of this source tree.
 
-from typing import Dict, Optional
+from typing import Dict, Optional, Union
 
 import torch
 from executorch.exir.dialects._ops import ops as exir_ops
@@ -32,7 +32,12 @@ class ReplaceScalarWithTensorArgPass(ExportPass):
 
     def __init__(
         self,
-        scalar_to_tensor_ops: Optional[Dict[EdgeOpOverload, EdgeOpOverload]] = None,
+        scalar_to_tensor_ops: Optional[
+            Dict[
+                Union[EdgeOpOverload, torch._ops.OpOverload],
+                Union[EdgeOpOverload, torch._ops.OpOverload],
+            ]
+        ] = None,
     ):
         if scalar_to_tensor_ops is not None:
             self.scalar_to_tensor_ops = scalar_to_tensor_ops