I submitted a service request on METRO's website this morning (request # SR78378) describing the situation and uploaded your photo. Mr. Estrada with METRO just called me and said he's got a crew headed out there to assess the bus stop so they can make the repairs. No word on timeline but more responsive than I would have imagined.
https://crm.ridemetro.org/metro-home/

From METRO 8/9/18: Your issue (#SR78378) has been forwarded to the appropriate departments for handling. The benches were placed upright and the City of Houston will be notified about the sidewalk for repairs. Thank you for contacting METRO.

If you have questions, contact METRO Customer Care Center at 713-635-4000 and have your Service Request Number ready. The Customer Care Center hours of operations are:
Monday-Friday, 6 a.m. - 8 p.m.
Saturday/Sunday, 8 a.m. - 8 p.m.

Metropolitan Transit Authority of Harris County
1900 Main St., Houston, Texas 77002
713-635-4000

Metro brought a stone bench the next day. So success and thanks.