Why won't the second French door close?
The flush bolts are not dropping fully into place. On a double door, only the operating leaf carries a handle. The second leaf is held top and bottom by flush bolts, and that is what most people miss.
Open both leaves and work the bolts by hand. They should slide freely and land in their sockets without being pushed.
A bolt that catches has either picked up dirt in the socket or lost alignment because the frame moved. Clean it, oil it, and if it still misses, move the socket a millimetre with the door open rather than forcing the leaf.
Adjust the second leaf into square before the first one. Everything about a double door hangs off where the passive leaf sits.
How do you open French doors fully?
Release the friction brake and swing the leaf past the brake's travel. On doors fitted with a brake, the arm limits how far the leaf goes until you disconnect it from the frame.
Read the operating instructions for your specific door before you disconnect anything. On our doors, the sash lifts off its hinges at 90°, and if a brake is fitted it has to come off the frame first, which is a two person job.
If you want the doors flat against the wall every summer, that is a specification question rather than an adjustment one. Ask about it before you order rather than after.