diff --git a/stubs/cachetools/cachetools/__init__.pyi b/stubs/cachetools/cachetools/__init__.pyi
index 47db5e279956..8adfb544c640 100644
--- a/stubs/cachetools/cachetools/__init__.pyi
+++ b/stubs/cachetools/cachetools/__init__.pyi
@@ -2,7 +2,7 @@ from _typeshed import IdentityFunction, Unused
 from collections.abc import Callable, Iterator, MutableMapping, Sequence
 from contextlib import AbstractContextManager
 from threading import Condition
-from typing import Any, TypeVar, overload
+from typing import Any, Generic, Literal, NamedTuple, TypeVar, overload
 from typing_extensions import Self, deprecated
 
 __all__ = ("Cache", "FIFOCache", "LFUCache", "LRUCache", "RRCache", "TLRUCache", "TTLCache", "cached", "cachedmethod")
@@ -11,6 +11,7 @@ __version__: str
 _KT = TypeVar("_KT")
 _VT = TypeVar("_VT")
 _T = TypeVar("_T")
+_R = TypeVar("_R")
 
 class Cache(MutableMapping[_KT, _VT]):
     @overload
@@ -99,22 +100,52 @@ class TLRUCache(_TimedCache[_KT, _VT]):
     def ttu(self) -> Callable[[_KT, _VT, float], float]: ...
     def expire(self, time: float | None = None) -> list[tuple[_KT, _VT]]: ...
 
+class _CacheInfo(NamedTuple):
+    hits: int
+    misses: int
+    maxsize: int | None
+    currsize: int
+
+class _cached_wrapper(Generic[_R]):
+    __wrapped__: Callable[..., _R]
+    def __call__(self, /, *args: Any, **kwargs: Any) -> _R: ...
+
+class _cached_wrapper_info(_cached_wrapper[_R]):
+    def cache_info(self) -> _CacheInfo: ...
+    def cache_clear(self) -> None: ...
+
 @overload
 def cached(
     cache: MutableMapping[_KT, Any] | None,
     key: Callable[..., _KT] = ...,
     lock: AbstractContextManager[Any] | None = None,
     condition: Condition | None = None,
-    info: bool = False,
-) -> IdentityFunction: ...
+    info: Literal[True] = ...,
+) -> Callable[[Callable[..., _R]], _cached_wrapper_info[_R]]: ...
+@overload
+def cached(
+    cache: MutableMapping[_KT, Any] | None,
+    key: Callable[..., _KT] = ...,
+    lock: AbstractContextManager[Any] | None = None,
+    condition: Condition | None = None,
+    info: Literal[False] = ...,
+) -> Callable[[Callable[..., _R]], _cached_wrapper[_R]]: ...
 @overload
 @deprecated("Passing `info` as positional parameter is deprecated.")
 def cached(
     cache: MutableMapping[_KT, Any] | None,
     key: Callable[..., _KT] = ...,
     lock: AbstractContextManager[Any] | None = None,
-    condition: bool | None = None,
-) -> IdentityFunction: ...
+    condition: Literal[True] = ...,
+) -> Callable[[Callable[..., _R]], _cached_wrapper_info[_R]]: ...
+@overload
+@deprecated("Passing `info` as positional parameter is deprecated.")
+def cached(
+    cache: MutableMapping[_KT, Any] | None,
+    key: Callable[..., _KT] = ...,
+    lock: AbstractContextManager[Any] | None = None,
+    condition: Literal[False] | None = ...,
+) -> Callable[[Callable[..., _R]], _cached_wrapper[_R]]: ...
 def cachedmethod(
     cache: Callable[[Any], MutableMapping[_KT, Any] | None],
     key: Callable[..., _KT] = ...,
diff --git a/stubs/cachetools/cachetools/func.pyi b/stubs/cachetools/cachetools/func.pyi
index 8608a1060e43..0480334ffe19 100644
--- a/stubs/cachetools/cachetools/func.pyi
+++ b/stubs/cachetools/cachetools/func.pyi
@@ -1,16 +1,51 @@
-from _typeshed import IdentityFunction
 from collections.abc import Callable, Sequence
-from typing import TypeVar
+from typing import Any, Final, Generic, NamedTuple, TypeVar, overload
+
+__all__: Final = ("fifo_cache", "lfu_cache", "lru_cache", "rr_cache", "ttl_cache")
 
-__all__ = ("fifo_cache", "lfu_cache", "lru_cache", "rr_cache", "ttl_cache")
 _T = TypeVar("_T")
+_R = TypeVar("_R")
+
+class _CacheInfo(NamedTuple):
+    hits: int
+    misses: int
+    maxsize: int | None
+    currsize: int
+
+class _cachetools_cache_wrapper(Generic[_R]):
+    __wrapped__: Callable[..., _R]
+    def __call__(self, /, *args: Any, **kwargs: Any) -> _R: ...
+    def cache_info(self) -> _CacheInfo: ...
+    def cache_clear(self) -> None: ...
+    def cache_parameters(self) -> dict[str, Any]: ...
 
-def fifo_cache(maxsize: float | None = 128, typed: bool = False) -> IdentityFunction: ...
-def lfu_cache(maxsize: float | None = 128, typed: bool = False) -> IdentityFunction: ...
-def lru_cache(maxsize: float | None = 128, typed: bool = False) -> IdentityFunction: ...
+@overload
+def fifo_cache(
+    maxsize: int | None = 128, typed: bool = False
+) -> Callable[[Callable[..., _R]], _cachetools_cache_wrapper[_R]]: ...
+@overload
+def fifo_cache(maxsize: Callable[..., _R], typed: bool = False) -> _cachetools_cache_wrapper[_R]: ...
+@overload
+def lfu_cache(maxsize: int | None = 128, typed: bool = False) -> Callable[[Callable[..., _R]], _cachetools_cache_wrapper[_R]]: ...
+@overload
+def lfu_cache(maxsize: Callable[..., _R], typed: bool = False) -> _cachetools_cache_wrapper[_R]: ...
+@overload
+def lru_cache(maxsize: int | None = 128, typed: bool = False) -> Callable[[Callable[..., _R]], _cachetools_cache_wrapper[_R]]: ...
+@overload
+def lru_cache(maxsize: Callable[..., _R], typed: bool = False) -> _cachetools_cache_wrapper[_R]: ...
+@overload
 def rr_cache(
-    maxsize: float | None = 128, choice: Callable[[Sequence[_T]], _T] | None = ..., typed: bool = False
-) -> IdentityFunction: ...
+    maxsize: int | None = 128, choice: Callable[[Sequence[_T]], _T] | None = ..., typed: bool = False
+) -> Callable[[Callable[..., _R]], _cachetools_cache_wrapper[_R]]: ...
+@overload
+def rr_cache(
+    maxsize: Callable[..., _R], choice: Callable[[Sequence[_T]], _T] | None = ..., typed: bool = False
+) -> _cachetools_cache_wrapper[_R]: ...
+@overload
+def ttl_cache(
+    maxsize: int | None = 128, ttl: float = 600, timer: Callable[[], float] = ..., typed: bool = False
+) -> Callable[[Callable[..., _R]], _cachetools_cache_wrapper[_R]]: ...
+@overload
 def ttl_cache(
-    maxsize: float | None = 128, ttl: float = 600, timer: Callable[[], float] = ..., typed: bool = False
-) -> IdentityFunction: ...
+    maxsize: Callable[..., _R], ttl: float = 600, timer: Callable[[], float] = ..., typed: bool = False
+) -> _cachetools_cache_wrapper[_R]: ...
diff --git a/stubs/cachetools/cachetools/keys.pyi b/stubs/cachetools/cachetools/keys.pyi
index 2f16e47edbf8..be1c7903c9c0 100644
--- a/stubs/cachetools/cachetools/keys.pyi
+++ b/stubs/cachetools/cachetools/keys.pyi
@@ -4,6 +4,6 @@ from collections.abc import Hashable
 __all__ = ("hashkey", "methodkey", "typedkey", "typedmethodkey")
 
 def hashkey(*args: Hashable, **kwargs: Hashable) -> tuple[Hashable, ...]: ...
-def methodkey(self: Unused, *args: Hashable, **kwargs: Hashable) -> tuple[Hashable, ...]: ...
+def methodkey(self: Unused, /, *args: Hashable, **kwargs: Hashable) -> tuple[Hashable, ...]: ...
 def typedkey(*args: Hashable, **kwargs: Hashable) -> tuple[Hashable, ...]: ...
-def typedmethodkey(self: Unused, *args: Hashable, **kwargs: Hashable) -> tuple[Hashable, ...]: ...
+def typedmethodkey(self: Unused, /, *args: Hashable, **kwargs: Hashable) -> tuple[Hashable, ...]: ...