app.UseMvc(routes =>
{
    routes.MapRoute("Values",
        "api/values/{id:int}",
        new { controller = "Values", action = "Get" });
});

[Route("api/[controller]")]
public class ValuesController : ControllerBase
{
    [HttpGet("{name:minlength(2):maxlength(10):alpha}")]
    public IActionResult Get(string name)
    {
        return Ok(name);
    }
}

app.UseMvc(routes =>
{
    routes.MapRoute(
        name: "Values",
        template: "api/values/{name}",
        defaults: new { controller = "Values", action = "Get" },
        constraints: new
        {
            name = new CompositeRouteConstraint(new List<IRouteConstraint>
            {
                new AlphaRouteConstraint(),
                new MinLengthRouteConstraint(2),
                new MaxLengthRouteConstraint(10)
            })
        });
});

public class StartsWithConstraint : IRouteConstraint
{
    public StartsWithConstraint(string startsWith)
    {
        if (string.IsNullOrWhiteSpace(startsWith))
            throw new ArgumentNullException(nameof(StartsWith));
        StartsWith = startsWith;
    }

    private string StartsWith { get; }

    public bool Match(HttpContext httpContext,
        IRouter route,
        string parameterName,
        RouteValueDictionary values,
        RouteDirection routeDirection)
    {
        if (parameterName == null)
            throw new ArgumentNullException(nameof(parameterName));

        if (values == null)
            throw new ArgumentNullException(nameof(values));

        if (!values.TryGetValue(parameterName, out var value) || value == null) 
            return false;

        string valueString = Convert.ToString(value, CultureInfo.InvariantCulture);
        return valueString.StartsWith(StartsWith);
    }
}

services.Configure<RouteOptions>(opt =>
opt.ConstraintMap.Add("startsWith", typeof(StartsWithConstraint)));

[Route("api/[controller]")]
public class ValuesController : ControllerBase
{
    [HttpGet("{name:minlength(2):maxlength(10):alpha:startsWith(Mo)}")]
    public IActionResult Get(string name)
    {
        return Ok(name);
    }
}