Fix database connection and export in drizzle template

.changeset/olive-lights-take.md

@@ -0,0 +1,5 @@
+---
+"create-better-t-stack": patch
+---
+
+fix several db conf issues

apps/cli/template/with-drizzle-postgres/apps/server/src/with-auth-lib/auth.ts

@@ -1,11 +1,11 @@
 import { betterAuth } from "better-auth";
 import { drizzleAdapter } from "better-auth/adapters/drizzle";
-import { db } from "../db";
 import * as schema from "../db/schema/auth";
+import { db } from "../db";
 
 export const auth = betterAuth({
   database: drizzleAdapter(db, {
-    provider: "postgresql",
+    provider: "pg",
     schema: schema,
   }),
   trustedOrigins: [process.env.CORS_ORIGIN || ""],