No, Q and /Q in the bottom circuit are complementary outputs. You need to bring the signal from the top (astable) circuit into the "B" I out in the bottom monostable. Monostable triggers on falling edge.View attachment 110282 Oh, wait. Where can I get a low impedance output? Need a buffer?
View attachment 110281
Then you can take an output of the bottom into a mosfet's gate. Source to ground and drain to your device (then to positive supply). Select Q or not-Q as output to drive mosfet gate depending on duty cycle needed. At 350Hz, I think you can drive logic level directly - even with a 4538.