For packaging the sources of Azure Functions, follow the instructions on Packaging .NET sources.
Then set the Package Type property to "Sources".

After the packaging has finished, you have to build the sources as shown below (positioned at the src\build directory):
dotnet build <Mydeployment>.sln -c release --force -p:DebugType=none --p:OutputPath=<outputh_path> -p:CosmosDBSupport= -p:TimerSupport= -p:AzureQueueSupport= -p:ServiceBusSupport= -p:HttpSupport= -p:BlobSupport= -p:EventGridSupport= -p:IntegratedSecuritySupport=
You have to pass the values of CosmosDBSupport, TimerSupport, etc., according to the Azure Function's trigger type.
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