Your style mod requires this patch to be in Patch folder:
<?xml version="1.0" encoding="utf-8"?>
<Patch>
<Operation Class="PatchOperationConditional">
<success>Always</success>
<xpath>/Defs/ThingDef[defName = "Sarcophagus"]/modExtensions</xpath>
<match Class="PatchOperationAdd">
<xpath>/Defs/ThingDef[defName = "Sarcophagus"]/modExtensions</xpath>
<value>
<li MayRequire="Anthitei.ATHsStyleableFramework.Style" Class="Aths_Stylables.SarcophagusExtension">
<sarcophageStyles>
<li>
<fullGraveGraphicData>
<texPath>Things/Building/BuildingStyle/styleName/Sarcophagus/styleNameSarcophagusFull</texPath>
<graphicClass>Graphic_Multi</graphicClass>
<drawSize>(3,4)</drawSize>
<damageData>
<cornerTL>Damage/Corner</cornerTL>
<cornerTR>Damage/Corner</cornerTR>
<cornerBL>Damage/Corner</cornerBL>
<cornerBR>Damage/Corner</cornerBR>
</damageData>
</fullGraveGraphicData>
<styleDefName>styleName_Sarcophagus</styleDefName>
</li>
</sarcophageStyles>
</li>
</value>
</match>
<nomatch Class="PatchOperationAdd">
<xpath>/Defs/ThingDef[defName = "Sarcophagus"]</xpath>
<value>
<modExtensions>
<li MayRequire="Anthitei.ATHsStyleableFramework.Style" Class="Aths_Stylables.SarcophagusExtension">
<sarcophageStyles>
<li>
<fullGraveGraphicData>
<texPath>Things/Building/BuildingStyle/styleName/Sarcophagus/styleNameSarcophagusFull</texPath>
<graphicClass>Graphic_Multi</graphicClass>
<drawSize>(3,4)</drawSize>
<damageData>
<cornerTL>Damage/Corner</cornerTL>
<cornerTR>Damage/Corner</cornerTR>
<cornerBL>Damage/Corner</cornerBL>
<cornerBR>Damage/Corner</cornerBR>
</damageData>
</fullGraveGraphicData>
<styleDefName>styleName_Sarcophagus</styleDefName>
</li>
</sarcophageStyles>
</li>
</modExtensions>
</value>
</nomatch>
</Operation>
</Patch>
ThingStyleDef.xml remain the same as for everything else:
<ThingStyleDef>
<defName>styleName_Sarcophagus</defName>
<graphicData>
<texPath>Things/Building/BuildingStyles/styleName/Sarcophagus/styleNameSarcophagus</texPath>
<graphicClass>Graphic_Multi</graphicClass>
<drawSize>(3,4)</drawSize>
<damageData>
<cornerTL>Damage/Corner</cornerTL>
<cornerTR>Damage/Corner</cornerTR>
<cornerBL>Damage/Corner</cornerBL>
<cornerBR>Damage/Corner</cornerBR>
</damageData>
</graphicData>
</ThingStyleDef>
StyleCategoryDefs.xml remain the same, as for everything else, too:
<li>
<thingDef>Sarcophagus</thingDef>
<styleDef>styleName_Sarcophagus</styleDef>
</li>
but you need to have of course additional graphics for full sarcophagus, so:
styleNameSarcophagus_east.png
styleNameSarcophagus_north.png
styleNameSarcophagusFull_east.png
styleNameSarcophagusFull_north.png