Hi if you expect this for audit purpose you can make sql script to update before start and end time after success.
For row count i found this in forum please check if it helps https://matillioncommunity.discourse.group/t/hi-guys-what-tools-in-matillion-can-i-use-get-a-row-count-of-all-the-tables-in-a-snowflake-schema-without-using-the-information-schema/1579