I would try XSplit if you are trying to edit your broadcast material later. Then under encode settings make sure to check constant frame rate.

If you are trying to post 1080p@30 or 60P videos here are some tips with OBS.

• For 60P capture, your system actually has to be capable of 60FPS in the game you are playing. Determine this.
• Play your game capture in 1:1 pixels for the video you are uploading. This means HD1080p is 1920x1080, 720p 1280x720 if your system is not able to keep up with gaming and broadcasting at the same time. Adjust your game settings and capture settings to match.
• Render your videos in the same 1:1 pixel as your captures, do not scale any where in the workflow.
• 30P vs 60P more frames = more load on your system, your choice.
• 1080p vs 720 at 60p = a lot less load on your system, but will get unresolved quicker when played back on really big screens. This comes down to content vs quality.
• If bit rate setting is offered, you want to be above what Youtube and others stream at. Youtube HD @30p is 8MBs, so you want to encode for at least 16Mbs for content with a lot of motion. 60P is double the numbers.

If you are capturing and editing, and not live streaming, then getting a recorder like a Blackmagic shuttle would be easier and less load on your system. That device will also deliver media encoded for editing. Blackmagic ATEM if you want to go pro with your streaming, as this will handle all the OBS crap without impacting your gaming system.

These simple recording settings work for me. Ignore the streaming settings, which I've never tested.