You have it drawn in series, not parallel. As long as they both add up to 9V anyway, it should work, but greens are 3V, and reds are... well, that really depends on the driver.
There might be a yellow diode out there somewhere for some type of equipment but it would cost $$$$$. A yellow DPSS laser will be cheaper than any yellow diode. And combining green and red to make yellow is even cheaper than a yellow DPSS.
you cant power it with a 9v battery it will break the diodes you need a 3v battery pack for each module or you can power it off one if you wire them in parallel