diff --git a/tenacity/retry.py b/tenacity/retry.py
index 593b252d..4edbd1f7 100644
--- a/tenacity/retry.py
+++ b/tenacity/retry.py
@@ -29,16 +29,20 @@ class retry_base(abc.ABC):
     def __call__(self, retry_state: "RetryCallState") -> bool:
         pass
 
-    def __and__(self, other: "retry_base") -> "retry_all":
-        return other.__rand__(self)
+    def __and__(self, other: "RetryBaseT") -> "retry_all":
+        if isinstance(other, retry_base):
+            return other.__rand__(self)
+        return retry_all(self, other)
 
-    def __rand__(self, other: "retry_base") -> "retry_all":
+    def __rand__(self, other: "RetryBaseT") -> "retry_all":
         return retry_all(other, self)
 
-    def __or__(self, other: "retry_base") -> "retry_any":
-        return other.__ror__(self)
+    def __or__(self, other: "RetryBaseT") -> "retry_any":
+        if isinstance(other, retry_base):
+            return other.__ror__(self)
+        return retry_any(self, other)
 
-    def __ror__(self, other: "retry_base") -> "retry_any":
+    def __ror__(self, other: "RetryBaseT") -> "retry_any":
         return retry_any(other, self)
 
 
@@ -254,7 +258,7 @@ def __call__(self, retry_state: "RetryCallState") -> bool:
 class retry_any(retry_base):
     """Retries if any of the retries condition is valid."""
 
-    def __init__(self, *retries: retry_base) -> None:
+    def __init__(self, *retries: "RetryBaseT") -> None:
         self.retries = retries
 
     def __call__(self, retry_state: "RetryCallState") -> bool:
@@ -264,7 +268,7 @@ def __call__(self, retry_state: "RetryCallState") -> bool:
 class retry_all(retry_base):
     """Retries if all the retries condition are valid."""
 
-    def __init__(self, *retries: retry_base) -> None:
+    def __init__(self, *retries: "RetryBaseT") -> None:
         self.retries = retries
 
     def __call__(self, retry_state: "RetryCallState") -> bool:
diff --git a/tests/test_tenacity.py b/tests/test_tenacity.py
index 0645a835..5a90a467 100644
--- a/tests/test_tenacity.py
+++ b/tests/test_tenacity.py
@@ -743,6 +743,40 @@ def r(fut: tenacity.Future) -> bool:
         self.assertFalse(r(tenacity.Future.construct(1, 2.2, False)))
         self.assertFalse(r(tenacity.Future.construct(1, 42, True)))
 
+    def test_retry_or_with_plain_function(self) -> None:
+        """Plain callables can be composed with retry_base via |."""
+
+        def my_retry(retry_state: tenacity.RetryCallState) -> bool:
+            return retry_state.outcome is not None and not retry_state.outcome.failed
+
+        # retry_base | plain_callable (exercises __or__ fallback)
+        retry = tenacity.retry_if_exception_type(Exception) | my_retry
+        retry_state = make_retry_state(
+            1, 1.0, last_result=tenacity.Future.construct(1, "ok", False)
+        )
+        self.assertTrue(retry(retry_state))
+
+        # plain_callable | retry_base (exercises __ror__ via reflection)
+        retry2 = my_retry | tenacity.retry_if_exception_type(Exception)
+        self.assertTrue(retry2(retry_state))
+
+    def test_retry_and_with_plain_function(self) -> None:
+        """Plain callables can be composed with retry_base via &."""
+
+        def my_retry(retry_state: tenacity.RetryCallState) -> bool:
+            return True
+
+        # retry_base & plain_callable (exercises __and__ fallback)
+        retry = tenacity.retry_if_result(lambda x: x == 1) & my_retry
+        retry_state = make_retry_state(
+            1, 1.0, last_result=tenacity.Future.construct(1, 1, False)
+        )
+        self.assertTrue(retry(retry_state))
+
+        # plain_callable & retry_base (exercises __rand__ via reflection)
+        retry2 = my_retry & tenacity.retry_if_result(lambda x: x == 1)
+        self.assertTrue(retry2(retry_state))
+
     def _raise_try_again(self) -> None:
         self._attempts += 1
         if self._attempts < 3: