LifeLine Pavo 2000 Lumen
Any of the Chinese knockoff lights claiming 2,000 lumens might give you 700. Maybe. And will have poor cutoff. A good light with proper lens and cutoff, and an actual 700lm rating would be brighter and more functional than a "2,000lm" eBay/Amazon light.
As to a 500lm taillight? Good luck. I'm using a HotShot PRO, rated at a scant 150lm, and have had numerous people tell me it's the "
brightest taillight they've ever seen." I mean, the Dinotte Quad Red is usually regarded as the brightest, most expensive taillight you can buy, rated at 200lm, and costing $150+. There are a lot of top-rated taillights in the 50-70lm range, for around 30 bucks.