I don't know which Gyres you have, sorry, but you will see some that have colors (red, green) or alpha characters (A, B). This is so you put the Gyres back together the way you had them. If you look at the colors or characters blades and put them side by side you will see what I mean. They face different directions. Cages are similar.
By running A, B, or Red, Green combos and face the cage properly you can push water forward when the motor spins normal. When it spins in revers now the one blade pushes the water while the other, spinning, is not cutting through the water but is a gentle nudge.
Hard to explain but next time you clean them you will see what I mean. So in your setup you get water moving forward, and backward, in laminar patterns.
Mine are installed at the moment otherwise I'd take a picture to try and show you. I'm sorry I don't have it. You can search on Maxspect Gyre 300: alternating Gyre Mode which is on FB I believe. I took a screen cap of it below.
Basically in order to get "actual" water movement that you can feel the blade and cage has to face proper direction and reverse features used.