diff --git a/cosmos/dbt/graph.py b/cosmos/dbt/graph.py
index 04a7425e7..39ceecc20 100644
--- a/cosmos/dbt/graph.py
+++ b/cosmos/dbt/graph.py
@@ -180,7 +180,7 @@ def run_command(command: list[str], tmp_dir: Path, env_vars: dict[str, str]) ->
         )
 
     if returncode or "Error" in stdout.replace("WarnErrorOptions", ""):
-        details = stderr or stdout
+        details = f"stderr: {stderr}\nstdout: {stdout}"
         raise CosmosLoadDbtException(f"Unable to run {command} due to the error:\n{details}")
 
     return stdout
diff --git a/tests/dbt/test_graph.py b/tests/dbt/test_graph.py
index 5d8db4891..f8e191a02 100644
--- a/tests/dbt/test_graph.py
+++ b/tests/dbt/test_graph.py
@@ -838,7 +838,7 @@ def test_load_via_dbt_ls_with_non_zero_returncode(mock_popen, postgres_profile_c
         execution_config=execution_config,
         profile_config=postgres_profile_config,
     )
-    expected = r"Unable to run \['.+dbt', 'deps', .*\] due to the error:\nSome stderr message"
+    expected = r"Unable to run \['.+dbt', 'deps', .*\] due to the error:\nstderr: Some stderr message\nstdout: "
     with pytest.raises(CosmosLoadDbtException, match=expected):
         dbt_graph.load_via_dbt_ls()
 
@@ -859,7 +859,7 @@ def test_load_via_dbt_ls_with_runtime_error_in_stdout(mock_popen_communicate, po
         execution_config=execution_config,
         profile_config=postgres_profile_config,
     )
-    expected = r"Unable to run \['.+dbt', 'deps', .*\] due to the error:\nSome Runtime Error"
+    expected = r"Unable to run \['.+dbt', 'deps', .*\] due to the error:\nstderr: \nstdout: Some Runtime Error"
     with pytest.raises(CosmosLoadDbtException, match=expected):
         dbt_graph.load_via_dbt_ls()
 
@@ -1131,7 +1131,7 @@ def test_run_command_none_argument(mock_popen, caplog):
     with pytest.raises(CosmosLoadDbtException) as exc_info:
         run_command(fake_command, fake_dir, env_vars)
 
-    expected = "Unable to run ['invalid-cmd', '<None>'] due to the error:\nInvalid None argument"
+    expected = "Unable to run ['invalid-cmd', '<None>'] due to the error:\nstderr: None\nstdout: Invalid None argument"
     assert str(exc_info.value) == expected