Save-ContentTypeMapping

# Connect to the source and destination sites
$srcSite = Connect-Site -Url "http://myfarm1/sites/mysourcesite"
$dstSite = Connect-Site -Url "http://myfarm1/sites/mydestinationsite"

# Retrieve the source list from the source site
$srcList = Get-List -Name mysrclist -Site $srcSite

# Retrieve the destination list from the destination site
$dstList = Get-List -Name mydstlist -Site $dstSite

# Retrieve existing content type mappings between the source and destination lists
$mappingSettings = Get-ContentTypeMapping -SourceList $srcList -DestinationList $dstList

# Display the retrieved content type mappings
$mappingSettings

# Example initial output:
# PropertyMappings        : 
# ContentTypeMappings     : Audio                  -> Audio
#                           Basic Page             -> <NO DESTINATION>
#                           Document               -> Document
#                           Folder                 -> Folder
#                           Image                  -> <NO DESTINATION>
#                           Video                  -> <NO DESTINATION>  
# UserAndGroupMappings    : 
# PermissionLevelMappings : 
# SiteTemplateMappings    :  

# Add a content type mapping from "Image" to "Picture"
$mappingSettings = Set-ContentTypeMapping -MappingSettings $mappingSettings -Source Image -Destination Picture

# Add a content type mapping from "Video" to "Movie"
$mappingSettings = Set-ContentTypeMapping -MappingSettings $mappingSettings -Source Video -Destination Movie

# Add a content type mapping for "My Custom Content Type" to ignore its destination
$mappingSettings = Set-ContentTypeMapping -MappingSettings $mappingSettings -Source "My Custom Content Type" -Ignore

# Save the updated content type mappings to the source and destination lists
$mappingSettings = Save-ContentTypeMapping -SourceList $srcList -DestinationList $dstList -MappingSettings $mappingSettings

# Retrieve the updated content type mappings to confirm changes
$mappingSettings = Get-ContentTypeMapping -SourceList $srcList -DestinationList $dstList

# Display the updated content type mappings
$mappingSettings

# Example updated output:
# PropertyMappings        : 
# ContentTypeMappings     : Audio                  -> Audio
#                           Basic Page             -> <NO DESTINATION>
#                           Document               -> Document
#                           Folder                 -> Folder
#                           Image                  -> Picture
#                           My Custom Content Type -> <NO DESTINATION>
#                           Video                  -> Movie  
# UserAndGroupMappings    : 
# PermissionLevelMappings : 
# SiteTemplateMappings    :

# Connect to the destination site
$dstSite = Connect-Site -Url http://myfarm1/sites/mydestinationsite

# Retrieve the destination list from the destination site
$dstList = Get-List -Name mydstlist -Site $dstSite

# Retrieve existing content type mappings from the file system for the destination list
$mappingSettings = Get-ContentTypeMapping -FromFileSystem -DestinationList $dstList

# Display the retrieved content type mappings
$mappingSettings

# Example initial output:
# PropertyMappings        : 
# ContentTypeMappings     : <File>   -> Document
#                           <Folder> -> Folder  
# UserAndGroupMappings    : 
# PermissionLevelMappings : 
# SiteTemplateMappings    :  

# Update the content type mapping for files from the file system to map to "Picture"
$mappingSettings = Set-ContentTypeMapping -MappingSettings $mappingSettings -FileFromFileSystem -Destination Picture

# Update the content type mapping for folders from the file system to map to "Document Set"
$mappingSettings = Set-ContentTypeMapping -MappingSettings $mappingSettings -FolderFromFileSystem -Destination "Document Set"

# Save the updated content type mappings back to the destination list
$mappingSettings = Save-ContentTypeMapping -FromFileSystem -DestinationList $dstList -MappingSettings $mappingSettings

# Retrieve the updated content type mappings to confirm changes
$mappingSettings = Get-ContentTypeMapping -FromFileSystem -DestinationList $dstList

# Display the updated content type mappings
$mappingSettings

# Example updated output:
# PropertyMappings        : 
# ContentTypeMappings     : <File>   -> Picture
#                           <Folder> -> Document Set  
# UserAndGroupMappings    : 
# PermissionLevelMappings : 
# SiteTemplateMappings    :

Save-ContentTypeMapping-MappingSettings <MappingSettings>
-SourceList <List> -DestinationList <List>

Save-ContentTypeMapping-MappingSettings <MappingSettings>-FromFileSystem <SwitchParameter> -DestinationList <List>