ZRH - screening? - non-Schengen to non-Schengen

Hello,

I am arriving on a flight from the USA in the E terminal and departing to a non-Schengen destination from the D terminal.

In this case, will I pass through any security screening in Zurich?
(e.g. at the gate)

The airport website doesn't seem to account for a situation of a passenger transiting between two non-Schengen points.

I would like to transit with some liquids purchased from an airport store which does not use the ICAO security bags. :(

Thanks!