diff --git a/core/Makefile b/core/Makefile
index 3460914..8ac4e0d 100644
--- a/core/Makefile
+++ b/core/Makefile
@@ -4051,13 +4051,13 @@
   $(foreach device,$(BOARD_SUPER_PARTITION_BLOCK_DEVICES), \
     echo "super_$(device)_device_size=$(BOARD_SUPER_PARTITION_$(call to-upper,$(device))_DEVICE_SIZE)" >> $(1);)
   $(if $(BOARD_SUPER_PARTITION_PARTITION_LIST), \
-    echo "dynamic_partition_list=$(call filter-out-missing-vendor, $(BOARD_SUPER_PARTITION_PARTITION_LIST))" >> $(1))
+    echo "dynamic_partition_list=$(call filter-out-missing-vendor,$(BOARD_SUPER_PARTITION_PARTITION_LIST))" >> $(1))
   $(if $(BOARD_SUPER_PARTITION_GROUPS),
     echo "super_partition_groups=$(BOARD_SUPER_PARTITION_GROUPS)" >> $(1))
   $(foreach group,$(BOARD_SUPER_PARTITION_GROUPS), \
     echo "super_$(group)_group_size=$(BOARD_$(call to-upper,$(group))_SIZE)" >> $(1); \
     $(if $(BOARD_$(call to-upper,$(group))_PARTITION_LIST), \
-      echo "super_$(group)_partition_list=$(call filter-out-missing-vendor, $(BOARD_$(call to-upper,$(group))_PARTITION_LIST))" >> $(1);))
+      echo "super_$(group)_partition_list=$(call filter-out-missing-vendor,$(BOARD_$(call to-upper,$(group))_PARTITION_LIST))" >> $(1);))
   $(if $(filter true,$(TARGET_USERIMAGES_SPARSE_EXT_DISABLED)), \
     echo "build_non_sparse_super_partition=true" >> $(1))
   $(if $(filter true,$(TARGET_USERIMAGES_SPARSE_F2FS_DISABLED)), \
diff --git a/core/config.mk b/core/config.mk
index bb182aa..a5b8ef7 100644
--- a/core/config.mk
+++ b/core/config.mk
@@ -978,8 +978,7 @@
     BOARD_SUPER_PARTITION_GROUPS and BOARD_*_PARTITION_LIST)
 endif
 BOARD_SUPER_PARTITION_PARTITION_LIST := \
-    $(foreach group,$(call to-upper,$(BOARD_SUPER_PARTITION_GROUPS)), \
-        $(BOARD_$(group)_PARTITION_LIST))
+    $(foreach group,$(call to-upper,$(BOARD_SUPER_PARTITION_GROUPS)),$(BOARD_$(group)_PARTITION_LIST))
 .KATI_READONLY := BOARD_SUPER_PARTITION_PARTITION_LIST
 
 ifneq ($(BOARD_SUPER_PARTITION_SIZE),)
diff --git a/core/main.mk b/core/main.mk
index 2af1f92..cc7cf72 100644
--- a/core/main.mk
+++ b/core/main.mk
@@ -642,9 +642,11 @@
 endef
 
 # TODO(b/7456955): error if a required module doesn't exist.
-# Resolve the required module names in ALL_MODULES.*.REQUIRED_FROM_TARGET,
-# ALL_MODULES.*.REQUIRED_FROM_HOST and ALL_MODULES.*.REQUIRED_FROM_HOST_CROSS
-# to 32-bit or 64-bit variant.
+# Resolve the required module names to 32-bit or 64-bit variant for:
+#   ALL_MODULES.<*>.REQUIRED_FROM_TARGET
+#   ALL_MODULES.<*>.REQUIRED_FROM_HOST
+#   ALL_MODULES.<*>.REQUIRED_FROM_HOST_CROSS
+#
 # If a module is for cross host OS, the required modules are also for that OS.
 # Required modules explicitly suffixed with :32 or :64 resolve to that bitness.
 # Otherwise if the requiring module is native and the required module is shared
@@ -660,27 +662,53 @@
       $(eval r := $(addprefix host_cross_,$(r)))) \
     $(eval module_is_native := \
       $(filter EXECUTABLES SHARED_LIBRARIES NATIVE_TESTS,$(ALL_MODULES.$(m).CLASS))) \
-    $(eval r_r := $(foreach r_i,$(r), \
-      $(if $(filter %:32 %:64,$(r_i)), \
-        $(eval r_m := $(call resolve-bitness-for-modules,$(1),$(r_i))), \
-        $(eval r_m := \
-          $(eval r_i_2nd := $(call get-modules-for-2nd-arch,$(1),$(r_i))) \
-          $(eval required_is_shared_library_or_native_test := \
-            $(filter SHARED_LIBRARIES NATIVE_TESTS, \
-              $(ALL_MODULES.$(r_i).CLASS) $(ALL_MODULES.$(r_i_2nd).CLASS))) \
-          $(if $(and $(module_is_native),$(required_is_shared_library_or_native_test)), \
-            $(if $(ALL_MODULES.$(m).FOR_2ND_ARCH),$(r_i_2nd),$(r_i)), \
-            $(r_i) $(r_i_2nd)))) \
-      $(eval ### TODO(b/7456955): error if r_m is empty / does not exist) \
-      $(r_m))) \
+    $(eval r_r := \
+      $(foreach r_i,$(r), \
+        $(if $(filter %:32 %:64,$(r_i)), \
+          $(eval r_m := $(call resolve-bitness-for-modules,$(1),$(r_i))), \
+          $(eval r_m := \
+            $(eval r_i_2nd := $(call get-modules-for-2nd-arch,$(1),$(r_i))) \
+            $(eval required_is_shared_library_or_native_test := \
+              $(filter SHARED_LIBRARIES NATIVE_TESTS, \
+                $(ALL_MODULES.$(r_i).CLASS) $(ALL_MODULES.$(r_i_2nd).CLASS))) \
+            $(if $(and $(module_is_native),$(required_is_shared_library_or_native_test)), \
+              $(if $(ALL_MODULES.$(m).FOR_2ND_ARCH),$(r_i_2nd),$(r_i)), \
+              $(r_i) $(r_i_2nd)))) \
+        $(eval ### TODO(b/7456955): error if r_m is empty / does not exist) \
+        $(r_m))) \
     $(eval ALL_MODULES.$(m).REQUIRED_FROM_$(1) := $(sort $(r_r))) \
   ) \
 )
 endef
 
+# Resolve the required module names to 32-bit or 64-bit variant for:
+#   ALL_MODULES.<*>.TARGET_REQUIRED_FROM_HOST
+#   ALL_MODULES.<*>.HOST_REQUIRED_FROM_TARGET
+#
+# This is like select-bitness-of-required-modules, but it doesn't have
+# complicated logic for various module types.
+# Calls resolve-bitness-for-modules to resolve module names.
+# $(1): TARGET or HOST
+# $(2): HOST or TARGET
+define select-bitness-of-target-host-required-modules
+$(foreach m,$(ALL_MODULES), \
+  $(eval r := $(ALL_MODULES.$(m).$(1)_REQUIRED_FROM_$(2))) \
+  $(if $(r), \
+    $(eval r_r := \
+      $(foreach r_i,$(r), \
+        $(eval r_m := $(call resolve-bitness-for-modules,$(1),$(r_i))) \
+        $(eval ### TODO(b/7456955): error if r_m is empty / does not exist) \
+        $(r_m))) \
+    $(eval ALL_MODULES.$(m).$(1)_REQUIRED_FROM_$(2) := $(sort $(r_r))) \
+  ) \
+)
+endef
+
 $(call select-bitness-of-required-modules,TARGET)
 $(call select-bitness-of-required-modules,HOST)
 $(call select-bitness-of-required-modules,HOST_CROSS)
+$(call select-bitness-of-target-host-required-modules,TARGET,HOST)
+$(call select-bitness-of-target-host-required-modules,HOST,TARGET)
 
 define add-required-deps
 $(1): | $(2)
diff --git a/core/soong_android_app_set.mk b/core/soong_android_app_set.mk
index 5ed9b2c..eb8e5e7 100644
--- a/core/soong_android_app_set.mk
+++ b/core/soong_android_app_set.mk
@@ -31,4 +31,17 @@
 $(LOCAL_INSTALLED_MODULE): PRIVATE_POST_INSTALL_CMD := $(LOCAL_POST_INSTALL_CMD)
 PACKAGES.$(LOCAL_MODULE).OVERRIDES := $(strip $(LOCAL_OVERRIDES_PACKAGES))
 
+# android_app_set modules are always presigned
+PACKAGES.$(LOCAL_MODULE).CERTIFICATE := PRESIGNED
+PACKAGES := $(PACKAGES) $(LOCAL_MODULE)
+
+ifneq ($(LOCAL_MODULE_STEM),)
+  PACKAGES.$(LOCAL_MODULE).STEM := $(LOCAL_MODULE_STEM)
+else
+  PACKAGES.$(LOCAL_MODULE).STEM := $(LOCAL_MODULE)
+endif
+
+# Set a actual_partition_tag (calculated in base_rules.mk) for the package.
+PACKAGES.$(LOCAL_MODULE).PARTITION := $(actual_partition_tag)
+
 SOONG_ALREADY_CONV += $(LOCAL_MODULE)