Come on, don't be that amateur. Told you, there is no negative wires. No such thing here (alternator and starter). Read again previous post, links.
There is probably a wiring/connection problem somewhere. But it's a simple circuit. TWO wires, big (B+) and small one (D+). That's it.
Even if there is a slightly bad ground at alternator body (dirt), it can't be that bad (resulting in no charging at all) in most cases.
So line D+ is to be inspected (from the alternator, previously mentioned gray connector near ECU, and ECU itself). Ohm-meter, continuity.
Alternator can be excited using small current on D+, for example with small 12V LED indicator/control lamp (you put it between battery Plus and D+ on the alternator = it should "wake up" and start charging, when the engine is spinning of course).
That's all for basic home checks (besides
main ground/earth). If D+ line is OK and/or LED trick doesn't work, it's a bad alternator probably (it's dangerous while engine is in operation, but check the voltage at alternator, not only at battery terminals). Or a very dirty job (alternator body is not contacting the engine block, there is so much dirt, grime, oil, rust). If the connections are bad, there is a danger of "frying" the alternator (regulator), but normally it happens when it is charging OK, and you suddenly cut the load completely. Regulator can be shorted and overcharging. But your unit is not even trying to charge...
"Testing" alternator (without load) with the drill can damage it. Don't do it folks. Slow turn by hand is OK (to check the bearings/brushes by feel and ear). Have you "tested" your brand new unit before installation?
PS
Check the Internet, what they say about
"new alternator not charging":
https://www.google.com/search?q=new+alternator+not+charging+battery
It is a common/universal automotive problem (not brand/model specific at all), go figure.