Using $eq in aggregate project Spring Data equivalent

Following is my MongoDB query which is

{$project:{
       firstName: "$firstName",
       lastName:"$lastName",
       email:"$email",
       company :"$organization.name",
       RoleName :"$organization.roles.roleName",
       matchingRole: { $eq: [ "$organization.roles.orgRoleId","$userOrgMap.roleId" ] }
      }
    },
    { $match: {matchingRole:true},{ $sort : { firstName : 1} }])

Following is my SpringData mongo API

aggregation = newAggregation(
                project("firstName", "lastName", "email")
                        .and("organization.name").as("company")
                        .and("organization.roles.roleName").as("roleName")

I want to know how to use $eq in project aggregate using Spring API. I tried to put the match outside the project as shown below. But query is not fetching mew any records. So I used $eq to compare in the project and assign the result in a new project attribute and check for it outside the project pipeline.

{ $match: {$organization.roles.orgRoleId","$userOrgMap.roleId"}