diff --git a/utils/generate_backend_completeness.py b/utils/generate_backend_completeness.py
index 39442259d..06e47270e 100644
--- a/utils/generate_backend_completeness.py
+++ b/utils/generate_backend_completeness.py
@@ -93,7 +93,7 @@ def parse_module(module_name: str, backend: str, nw_class_name: str) -> list[str
 def render_table_and_write_to_output(
     results: list[pl.DataFrame], title: str, output_filename: str
 ) -> None:
-    results = (
+    results: pl.DataFrame = (
         pl.concat(results)
         .with_columns(supported=pl.lit(":white_check_mark:"))
         .pivot(on="Backend", values="supported", index=["Method"])
@@ -103,7 +103,10 @@ def render_table_and_write_to_output(
         .sort("Method")
     )
 
-    results = results.with_columns(polars=pl.lit(":white_check_mark:"))
+    backends = [c for c in results.columns if c != "Method"] + ["polars"]
+    results = results.with_columns(polars=pl.lit(":white_check_mark:")).select(
+        "Method", *sorted(backends)
+    )
 
     with pl.Config(
         tbl_formatting="ASCII_MARKDOWN",
@@ -175,7 +178,9 @@ def get_backend_completeness_table() -> None:
             continue
 
         render_table_and_write_to_output(
-            results=results, title=module_name.capitalize(), output_filename=module_name
+            results=results,
+            title=module_name.capitalize().replace("_", "."),
+            output_filename=module_name,
         )