Use below query to get the list of databases modified in last 'X' days:
USE <database_Name>;
GO
SELECT Name AS object_Name,
Create_Date, Modify_Date,
Type_Desc,
SCHEMA_Name(Schema_ID) AS Schema_Name
FROM sys.Objects
WHERE Modify_Date > GETDate() - <X_Days>
ORDER BY Modify_Date;
GO
Notes: Replace <database_Name> with Database Name and <X_Days> with No of days.
USE <database_Name>;
GO
SELECT Name AS object_Name,
Create_Date, Modify_Date,
Type_Desc,
SCHEMA_Name(Schema_ID) AS Schema_Name
FROM sys.Objects
WHERE Modify_Date > GETDate() - <X_Days>
ORDER BY Modify_Date;
GO
Notes: Replace <database_Name> with Database Name and <X_Days> with No of days.