Those look sorta like Zoom Brahma bars. You can't buy the proper grips for Brahmas any longer. They are NOT the normal diameter on the bar end part. Good - you can easily slide the brake levers on once the grips are removed. Bad - You'll play hell trying to replace those grips if they get destroyed.
Track grips do NOT fit Brahma bars. The only option we've found is to install normal grips in the normal position, and then wrap the bar-end part with road bike bar tape. Maybe someone has some on eBay, but no suppliers carry them any longer. (They were primarily a GT thing)
On the plus side, I don't think those are actual Zoom Brahma bars. As such, they *might* be a normal diameter on the bar-end part, and as such, track grips might fit. I honestly don't think you'll have much problem getting the levers on once the grips are removed.