If you take down the rear wall of the pass through basement storage, by the Universal Docking Center (UDC), you can check the plumbing connections on the back of those flush connections. There should be PEX tubing from each connection, going up to the height of your shower where each tube connects to an anti-siphon valve. The PEX coming out of the anti-siphon valve then goes down to its respective black tank.
For water to come out of the 2nd fitting when fed into the first, it sounds like the fittings are cross-connected. But for water to not go through the 2nd fitting, it sounds like the PEX tubing to the tank may be pinched.
Anyway, you, or someone else will need to examine the fittings and PEX tubing.
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