diff --git a/yt_dlp/extractor/_extractors.py b/yt_dlp/extractor/_extractors.py
index a12328f04..1677d38e2 100644
--- a/yt_dlp/extractor/_extractors.py
+++ b/yt_dlp/extractor/_extractors.py
@@ -1479,10 +1479,8 @@
 )
 from .rai import (
     RaiPlayIE,
-    RaiPlayLiveIE,
     RaiPlayPlaylistIE,
     RaiPlaySoundIE,
-    RaiPlaySoundLiveIE,
     RaiPlaySoundPlaylistIE,
     RaiNewsIE,
     RaiSudtirolIE,
diff --git a/yt_dlp/extractor/rai.py b/yt_dlp/extractor/rai.py
index cab12cc21..a84d63fa0 100644
--- a/yt_dlp/extractor/rai.py
+++ b/yt_dlp/extractor/rai.py
@@ -16,6 +16,7 @@
     HEADRequest,
     int_or_none,
     join_nonempty,
+    make_archive_id,
     parse_duration,
     remove_start,
     strip_or_none,
@@ -234,7 +235,10 @@ def _extract_subtitles(url, video_data):
 
 
 class RaiPlayIE(RaiBaseIE):
-    _VALID_URL = rf'(?P<base>https?://(?:www\.)?raiplay\.it/.+?-(?P<id>{RaiBaseIE._UUID_RE}))\.(?:html|json)'
+    _VALID_URLS = [
+        rf'(?P<base>https?://(?:www\.)?raiplay\.it/.+?-(?P<id>{RaiBaseIE._UUID_RE}))\.(?:html|json)',
+        r'(?P<base>https?://(?:www\.)?raiplay\.it/dirette/(?P<id>[^/?#&]+))',
+    ]
     _TESTS = [{
         'url': 'http://www.raiplay.it/video/2014/04/Report-del-07042014-cb27157f-9dd0-4aee-b788-b1f67643a391.html',
         'md5': '8970abf8caf8aef4696e7b1f2adfc696',
@@ -282,6 +286,25 @@ class RaiPlayIE(RaiBaseIE):
             'timestamp': 1637318940,
             'upload_date': '20211119',
         },
+    }, {
+        # live stream
+        'url': 'https://www.raiplay.it/dirette/rainews24',
+        'info_dict': {
+            'id': 'd784ad40-e0ae-4a69-aa76-37519d238a9c',
+            'display_id': 'rainews24',
+            'ext': 'mp4',
+            'title': r're:^Diretta di Rai News 24 [0-9]{4}-[0-9]{2}-[0-9]{2} [0-9]{2}:[0-9]{2}$',
+            'description': 'md5:4d00bcf6dc98b27c6ec480de329d1497',
+            'uploader': 'Rai News 24',
+            'creator': 'Rai News 24',
+            'is_live': True,
+            'live_status': 'is_live',
+            'upload_date': '20090502',
+            'timestamp': 1241276220,
+        },
+        'params': {
+            'skip_download': True,
+        },
     }, {
         'url': 'http://www.raiplay.it/video/2016/11/gazebotraindesi-efebe701-969c-4593-92f3-285f0d1ce750.html?',
         'only_matching': True,
@@ -336,6 +359,7 @@ def _real_extract(self, url):
         return {
             'id': remove_start(media.get('id'), 'ContentItem-') or video_id,
             'display_id': video_id,
+            '_old_archive_ids': [make_archive_id('RaiPlayLive', video_id)] if not re.match(RaiBaseIE._UUID_RE, video_id) else None,
             'title': title,
             'alt_title': strip_or_none(alt_title or None),
             'description': media.get('description'),
@@ -355,29 +379,6 @@ def _real_extract(self, url):
         }
 
 
-class RaiPlayLiveIE(RaiPlayIE):  # XXX: Do not subclass from concrete IE
-    _VALID_URL = r'(?P<base>https?://(?:www\.)?raiplay\.it/dirette/(?P<id>[^/?#&]+))'
-    _TESTS = [{
-        'url': 'http://www.raiplay.it/dirette/rainews24',
-        'info_dict': {
-            'id': 'd784ad40-e0ae-4a69-aa76-37519d238a9c',
-            'display_id': 'rainews24',
-            'ext': 'mp4',
-            'title': 're:^Diretta di Rai News 24 [0-9]{4}-[0-9]{2}-[0-9]{2} [0-9]{2}:[0-9]{2}$',
-            'description': 'md5:4d00bcf6dc98b27c6ec480de329d1497',
-            'uploader': 'Rai News 24',
-            'creator': 'Rai News 24',
-            'is_live': True,
-            'live_status': 'is_live',
-            'upload_date': '20090502',
-            'timestamp': 1241276220,
-        },
-        'params': {
-            'skip_download': True,
-        },
-    }]
-
-
 class RaiPlayPlaylistIE(InfoExtractor):
     _VALID_URL = r'(?P<base>https?://(?:www\.)?raiplay\.it/programmi/(?P<id>[^/?#&]+))(?:/(?P<extra_id>[^?#&]+))?'
     _TESTS = [{
@@ -440,7 +441,10 @@ def _real_extract(self, url):
 
 
 class RaiPlaySoundIE(RaiBaseIE):
-    _VALID_URL = rf'(?P<base>https?://(?:www\.)?raiplaysound\.it/.+?-(?P<id>{RaiBaseIE._UUID_RE}))\.(?:html|json)'
+    _VALID_URLS = [
+        rf'(?P<base>https?://(?:www\.)?raiplaysound\.it/.+?-(?P<id>{RaiBaseIE._UUID_RE}))\.(?:html|json)',
+        r'(?P<base>https?://(?:www\.)?raiplaysound\.it/(?P<id>[^/?#&]+)$)',
+    ]
     _TESTS = [{
         'url': 'https://www.raiplaysound.it/audio/2021/12/IL-RUGGITO-DEL-CONIGLIO-1ebae2a7-7cdb-42bb-842e-fe0d193e9707.html',
         'md5': '8970abf8caf8aef4696e7b1f2adfc696',
@@ -462,6 +466,23 @@ class RaiPlaySoundIE(RaiBaseIE):
         'params': {
             'skip_download': True,
         },
+    }, {
+        'url': 'https://www.raiplaysound.it/radio2',
+        'info_dict': {
+            'id': 'b00a50e6-f404-4af6-8f8c-ff3b9af73a44',
+            'display_id': 'radio2',
+            'ext': 'mp4',
+            'title': r're:Rai Radio 2 \d+-\d+-\d+ \d+:\d+',
+            'thumbnail': r're:https://www\.raiplaysound\.it/dl/img/.+png',
+            'uploader': 'rai radio 2',
+            'series': 'Rai Radio 2',
+            'creator': 'raiplaysound',
+            'is_live': True,
+            'live_status': 'is_live',
+        },
+        'params': {
+            'skip_download': 'live',
+        },
     }]
 
     def _real_extract(self, url):
@@ -488,6 +509,7 @@ def _real_extract(self, url):
             **info,
             'id': uid or audio_id,
             'display_id': audio_id,
+            '_old_archive_ids': [make_archive_id('RaiPlaySoundLive', audio_id)] if not re.match(RaiBaseIE._UUID_RE, audio_id) else None,
             'title': traverse_obj(media, 'title', 'episode_title'),
             'alt_title': traverse_obj(media, ('track_info', 'media_name'), expected_type=strip_or_none),
             'description': media.get('description'),
@@ -503,28 +525,6 @@ def _real_extract(self, url):
         }
 
 
-class RaiPlaySoundLiveIE(RaiPlaySoundIE):  # XXX: Do not subclass from concrete IE
-    _VALID_URL = r'(?P<base>https?://(?:www\.)?raiplaysound\.it/(?P<id>[^/?#&]+)$)'
-    _TESTS = [{
-        'url': 'https://www.raiplaysound.it/radio2',
-        'info_dict': {
-            'id': 'b00a50e6-f404-4af6-8f8c-ff3b9af73a44',
-            'display_id': 'radio2',
-            'ext': 'mp4',
-            'title': r're:Rai Radio 2 \d+-\d+-\d+ \d+:\d+',
-            'thumbnail': r're:https://www.raiplaysound.it/dl/img/.+?png',
-            'uploader': 'rai radio 2',
-            'series': 'Rai Radio 2',
-            'creator': 'raiplaysound',
-            'is_live': True,
-            'live_status': 'is_live',
-        },
-        'params': {
-            'skip_download': 'live',
-        },
-    }]
-
-
 class RaiPlaySoundPlaylistIE(InfoExtractor):
     _VALID_URL = r'(?P<base>https?://(?:www\.)?raiplaysound\.it/(?:programmi|playlist|audiolibri)/(?P<id>[^/?#&]+))(?:/(?P<extra_id>[^?#&]+))?'
     _TESTS = [{