diff --git a/localstack-core/localstack/services/lambda_/event_source_mapping/pollers/dynamodb_poller.py b/localstack-core/localstack/services/lambda_/event_source_mapping/pollers/dynamodb_poller.py
index 2a8e793945c42..d8b1af71b1b71 100644
--- a/localstack-core/localstack/services/lambda_/event_source_mapping/pollers/dynamodb_poller.py
+++ b/localstack-core/localstack/services/lambda_/event_source_mapping/pollers/dynamodb_poller.py
@@ -7,6 +7,7 @@
 from localstack.services.lambda_.event_source_mapping.event_processor import (
     EventProcessor,
 )
+from localstack.services.lambda_.event_source_mapping.pipe_utils import get_current_time
 from localstack.services.lambda_.event_source_mapping.pollers.stream_poller import StreamPoller
 
 LOG = logging.getLogger(__name__)
@@ -21,6 +22,7 @@ def __init__(
         processor: EventProcessor | None = None,
         partner_resource_arn: str | None = None,
         esm_uuid: str | None = None,
+        shards: dict[str, str] | None = None,
     ):
         super().__init__(
             source_arn,
@@ -29,6 +31,7 @@ def __init__(
             processor,
             esm_uuid=esm_uuid,
             partner_resource_arn=partner_resource_arn,
+            shards=shards,
         )
 
     @property
@@ -107,7 +110,7 @@ def get_approximate_arrival_time(self, record: dict) -> float:
         # Optional according to AWS docs:
         # https://docs.aws.amazon.com/amazondynamodb/latest/APIReference/API_streams_StreamRecord.html
         # TODO: parse float properly if present from ApproximateCreationDateTime -> now works, compare via debug!
-        return record["dynamodb"].get("todo", datetime.utcnow().timestamp())
+        return record["dynamodb"].get("todo", get_current_time().timestamp())
 
     def format_datetime(self, time: datetime) -> str:
         return f"{time.isoformat(timespec='seconds')}Z"
diff --git a/localstack-core/localstack/services/lambda_/event_source_mapping/pollers/kinesis_poller.py b/localstack-core/localstack/services/lambda_/event_source_mapping/pollers/kinesis_poller.py
index e2dc19b74b012..defe87a6a6dee 100644
--- a/localstack-core/localstack/services/lambda_/event_source_mapping/pollers/kinesis_poller.py
+++ b/localstack-core/localstack/services/lambda_/event_source_mapping/pollers/kinesis_poller.py
@@ -37,6 +37,7 @@ def __init__(
         invoke_identity_arn: str | None = None,
         kinesis_namespace: bool = False,
         esm_uuid: str | None = None,
+        shards: dict[str, str] | None = None,
     ):
         super().__init__(
             source_arn,
@@ -45,6 +46,7 @@ def __init__(
             processor,
             esm_uuid=esm_uuid,
             partner_resource_arn=partner_resource_arn,
+            shards=shards,
         )
         self.invoke_identity_arn = invoke_identity_arn
         self.kinesis_namespace = kinesis_namespace
diff --git a/localstack-core/localstack/services/lambda_/event_source_mapping/pollers/stream_poller.py b/localstack-core/localstack/services/lambda_/event_source_mapping/pollers/stream_poller.py
index 72d7c3ef3523b..33e95eb32756b 100644
--- a/localstack-core/localstack/services/lambda_/event_source_mapping/pollers/stream_poller.py
+++ b/localstack-core/localstack/services/lambda_/event_source_mapping/pollers/stream_poller.py
@@ -70,11 +70,12 @@ def __init__(
         processor: EventProcessor | None = None,
         partner_resource_arn: str | None = None,
         esm_uuid: str | None = None,
+        shards: dict[str, str] | None = None,
     ):
         super().__init__(source_arn, source_parameters, source_client, processor)
         self.partner_resource_arn = partner_resource_arn
         self.esm_uuid = esm_uuid
-        self.shards = {}
+        self.shards = shards if shards is not None else {}
         self.iterator_over_shards = None
 
         self._is_shutdown = threading.Event()