Well after many days of neglect I finally pulled out the necessary equipment along with the oscillator to test it. As it turns out the something that was wrong was primarily user error. I did however learn a few things. I noticed one capacitor leg wasn't soldered in so I soldered that in. Not sure whether I removed the solder on that joint before or after testing.
I also learned that in order to get positive and negative voltages I need to use the shared +/- as my circuit ground whereas before I had tried using earth ground (or I assume that's what the green ground is coming out of the power supply). And finally I realized that my oscilloscope was triggering on a specific channel and not vertical mode. After all was said and done it looks like I have a mostly working sine oscillator. It seems a bit dodgy when I adjust the frequency but it seems to eventually stabilize.
I guess now that I've learned a thing or two testing the other sine oscillator should be a piece of cake. I'm not sure whether I am going to go through the effort of making a power supply for it at this point primarily due to financial considerations. I have some other projects I'd rather put the money into. I should probably price it out before I make the final decision but that's the direction I'm leaning in.
Just glad to have finally figured out what was wrong with it. I can finally clear it off my list of things to do and move onto something more interesting like my electronic load.