They look pretty good to me in both modes!
In the computer browser, there's the full white Header for the TMLToday logo and search field section in dark mode, but it tucks away when scrolling so it's not a huge deal. If it were me, I'd drop the whole header section entirely by replacing the Home button on the main menu with a modified TMLToday logo (white text, transparent bg); search functionality is already in the magnifying glass. It's compacted nicely on Mobile: logo has the white bg block, but again, not a big deal.
Everyone's eyes and screen settings are a bit different so this is probably the hardest thing to nail down on any site.