Sounds like you have some malware that got installed and is running in the background.
Which phone?
Which version of android?
Which carrier?
What are the last five apps YOU installed?
What are the names of the apps that keep coming back?
With this info, we may be able to help figure out which background app you need to uninstall.
I have the same UMX phone from Virgin Mobile and have the same issue as the other 2 people.
Malwarebytes also found "Android/Pup. Riskware. Autoins. Fora. INS"
It says system application
Wireless Update.
I THINK that's the problem child that's letting everything else in.
But since it's a system app, I have found no way to delete it.
Please keep in mind, I'm smart phone illiterate, so if you tell me to get rid of something, I pretty much need tips on how to do so, because if I could figure out how to do it, I would have already lol.
Since there are at least 3 of us with this UMX phone with this same issue, I don't think it's any apps that WE'VE downloaded, it seems to me, that it came with the phone.
I get the same "MOSE GAME" ETC that the OP is getting, and recently, the "Back Service" app has shown up. (How did you get rid of "Back service"?? It isn't showing up in my apps list, but I it DOES pop up).
My free trial for malwarebytes has expired. Is there another free malware app that I should try? Malwarebytes couldn't delete the original Android/PUP. Riskware.Autoins.Fota. INS saying it was a system app, so I just had to whitelist it and disable it.
That seemed to stop the pop up downloads for a bit, but they're back again.
FWIW, I've only downloaded 3 apps that I've had on my tablet, with no issues, for years : Homescapes, Big Fish, and Jackpot Magic
Like I said, though, since the 3 of us with this UMX phone through Virgin mobile are having the EXACT same problem, with the exact same apps that keep downloading themselves, I think it's coming from that system PUP.
I just don't know how or what to do, to get rid of it.
Hopefully, someone can help us!
Thank you!