aufgestockt
increased
Increased or expanded in number, amount, or value. Often refers to staff, capital, or inventories.
Das Budget für das Projekt wurde kurzfristig aufgestockt.
The budget for the project was increased at short notice.

increased / extended upward
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increased
Increased or expanded in number, amount, or value. Often refers to staff, capital, or inventories.
Das Budget für das Projekt wurde kurzfristig aufgestockt.
The budget for the project was increased at short notice.

'Aufgestockt' (increased / extended upward) is the past participle of the separable verb 'aufstocken' (to increase; to add a floor). This verb comes from 'auf' (up/on) and 'der Stock' (floor, story). The meaning 'to increase' is a figurative extension of the idea of adding another floor to a building.
Die Firma hat ihr Personal aufgestockt, um die Nachfrage zu bewältigen.
The company increased its staff to handle the demand.
To state the exact amount or number of the increase, the preposition 'um' is used. The pattern is: etwas wird um [Anzahl/Betrag] aufgestockt (something is increased by [number/amount]).
Das Gehalt wurde um fünf Prozent aufgestockt.
The salary was increased by five percent.
The context makes the meaning clear. If it is about numbers, money, or quantities (e.g., staff, budget), the figurative meaning 'increased' is meant. If it is about architecture (e.g., house, building), the literal meaning 'a floor added' is meant.
Die Sicherheitskräfte für die Veranstaltung wurden kurzfristig aufgestockt.
The security forces for the event were increased at short notice.
In the figurative meaning, 'aufgestockt' (increased) is often combined with financial or personnel-related terms. Typical phrases are: 'das Personal aufstocken' (to increase staff), 'das Kapital aufstocken' (to increase capital), or 'die Bestände aufstocken' (to increase inventories).
Die Bibliothek hat ihre Bestände an digitalen Büchern deutlich aufgestockt.
The library has significantly increased its stock of digital books.
increased / increasingly
'vermehrt' and 'aufgestockt' both have to do with an increase. 'vermehrt' describes that something occurs more often, more strongly, or in greater numbers. It sounds more like an observation. 'aufgestockt' means that someone has deliberately increased an amount, number, or stock, for example staff, money, or supplies. So the important difference is: 'vermehrt' happens or becomes visible, while 'aufgestockt' is usually actively organized.

Die Firma hat das Team im Kundenservice aufgestockt.
The company increased the customer service team.
Vor den Ferien kommen vermehrt Anrufe wegen neuer Termine.
Before the holidays, there are more and more calls about new appointments.